Alice Fialowski: Publications
- Fialovszky L., Fialovszky A., "Vergleich wahrer Fehler der mit
Geräten verschiedener Genauigkeit erzielten Ergebnisse,"
Zeitschrift für Vermessungswesen, 101 (1976),
pp. 67--75.
- Fialowski A., "Generalization of the basic theorems of commutative
harmonic analysis (Plancherel and Bochner Theorem)," Ph.D. thesis,,
Budapest 1977, pp. 1--102 (in Hungarian).
- Fialowski A., "Deformations of the Lie algebra of vector fields on the
line," Russian Mathematical Surveys,, 38 (1983),
pp. 201--202 (in Russian); English translation: Russian
Math. Surveys, 38 (1983), no. 1, 185--186
(pdf file)
- Fialowski A., "On the classification of graded Lie algebras
with two generators," Vestnyik MGU, (1983), pp. 62--64
(in Russian). English translation: Moscow Univ. Math. Bull.,
38 (1983), no. 2, 76--79 (pdf file).
- Fialowski A., "About cohomology and deformations of
infinite dimensional nilpotent Lie algebras," Thesis for
Candidate of Mathematical Sciences academic degree,, Moscow 1983,
pp. 1--106 (in Russian).
- Feigin B.L., Fialowski A., "On the cohomology of nilpotent
loop algebras," Doklady Akademii Nauk SSSR, 271 (1983),
pp. 813--816 (in Russian), English translation: Soviet
Math. Dokl., 28 (1983), no. 1, 178--181,
(pdf file)
- Fialowski, A., "Deformations of nilpotent Kac-Moody algebras,"
Studia Sci. Math. Hungar,, 19 (1984), pp. 465--483
(pdf file)
- Fialowski A., "On the deformations of L1 Studia Sci.
Math. Hungar., 20 (1985), pp. 433--438
(pdf file).
- Fialowski A. (see also "Fialovski"), "Deformations of Lie algebras,"
Mat.Sbornyik USSR,,
127 (169), (1985), pp. 476--482;
English translation: Math. USSR-Sb., 55, (1986), no. 2, 467--473
(pdf file).
- Feigin B.L., Fialowski A., "Cohomology of the infinite
dimensional Lie algebra L1 with nontrivial coefficients,"
Bulletin of the AMS, 17 (1987), pp. 333--337
(pdf file).
- Fialowski A., "An example of formal deformations of Lie algebras"
NATO Conference on Deformation Theory of Algebras and Applications, Il
Ciocco, Italy, 1986, Proceedings. Kluwer, Dordrecht, 1988,
pp. 375--401 (pdf file)
- Feigin B.L., Fialowski A., "Cohomology of the nilpotent subalgebras of
current Lie algebras," Studia Sci. Math. Hungar., 24, (1989),
pp. 1--9 (pdf file)
- Fialowski A., "Deformations of some infinite dimensional Lie
algebras," Journal of Math. Physics,, 31 (1990),
pp. 1340--1343 (pdf file).
- Fialowski, A., O'Halloran J., "A comparison of deformations and
orbit closure," Communications in Algebra,, 18 (1990),
4121--4140 (pdf file).
- Fialowski A., "On the cohomology
H*(Lk,Ls)" Studia Sci. Math.
Hungar.,, 27 (1992), 189--200 (
pdf file).
- Fialowski A., "On the cohomology of infinite dimensional nilpotent
Lie algebras," Advances in Math.,, 97 (1993), 267--277
(pdf file).
- Fialowski A., Malikov F., "Extensions of Modules over Loop
Algebras," Amer. Journal of Mathematics, 116 (1994),
1265--1281 (pdf file).
- Fialowski A., "Cohomology of Nilpotent Subalgebras of Affine Lie Algebras,"
Proceedings of the AMS, 122 (1994), 71--77.
(pdf file)
- Fialowski A., "On the cohomology of the Lie algebra
L2" Pacific Journal of Math., 172 (1996), 399--412
(pdf file)
- Fialowski A., Fuchs D.B., "Singular Deformations of Lie algebras on an
example," Topics in Singularity Theory: V.I. Arnold's 60th Anniversary
Collection, A. Khovanskii, A. Varchenko, V. Vassiliev (Eds.),
Transl. Amer. Math. Soc. Ser. 2, 180, pp. 77--92, Amer. Math. Soc.,
Providence, RI, 1997 (pdf file) .
- Fialowski A., Fuchs D.B., "Construction of Miniversal Deformations
of Lie Algebras," Journal of Functional Analysis,
161/1 (1999), pp. 76--110 (pdf file)
- Fialowski, A., "Versal Deformations of Lie Algebras,"
published in: Lecture Notes in Pure Appl. Math., Vol. 211 (2000),
pp.91--103, Marcel Dekker. Proceedings of the IVth International Conference
on Nonassociative Algebras and Applications, Sao Paolo, Brazil 1998
(pdf file).
- Fialowski, A., Post, G., "Versal deformation of the Lie algebra
L2", Journal of Algebra, Jan. 2001, 236(1),
pp. 93--109 (pdf file) .
- Fialowski, A., Penkava, M., "Deformation Theory of Infinity Algebras,"
Journal of Algebra, 255 (2002), pp. 59--88
(pdf file)
- Fialowski, A., Penkava, M., "Examples of infinity and Lie algebras
\and their versal deformations,"
Geometry and Analysis on Finite and Infinite Dimensional Lie Groups,
R. Strasburger et al. (eds), Banach Center Publications, 55,
Inst. Math. Polish Acad. Sci., 2002, pp. 27--42
(pdf file)
- Fialowski, A., Schlichenmaier, M.,
"Global Deformations of the Witt Algebra of Krichever-Novikov Type,"
Communications in Contemporary Mathematics, 5 (2003), 921--945
(pdf file).
- Fialowski, A., "Global Deformations of Lie Algebras",
Rings, Modules, Algebras, and Abelian Groups, Dekker Series,
236 (2004), pp. 177--188
(pdf file).
- Fialowski, A., Millionschikov, D.V., "Cohomology of some N-graded
Lie algebras", Uspekhi Mat. Nauk, 59(6) (2004), 205--206.
English Translation: Russ. Math. Surv., 59(6), 1210--1211.
(English translation (PDF))
- Fialowski, A., "Global deformations of the Virasoro algebra",
Lect. Notes in Pure and Applied Math. (2004), 318--321
(pdf file).
- Fialowski, A., Penkava, M., "Versal Deformations of Three Dimensional
Lie Algebras as L_\infty Algebras,"
Commun. Contemp Math., 7 (2005), 145--165
(pdf file) .
- Fialowski, A., Penkava, M., "Strongly Homotopy Lie Algebras of One
Even and Two Odd Dimensions," Alice Fialowski, Michael Penkava,
Journal of Algebra, 283 (2005), 125--148
(pdf file).
- Bodin, D., Fialowski, A. Penkava, M., "Classification of
L_\infty algebras on a 2|1 dimensional space,",
Homology, Homotopy and Applications, 7(2) (2005),
55--86 (math.QA/0401025; pdf file)
- Fialowski, A., de Montigny, M., "On Deformations and Contractions of Lie
Algebras", J. Phys. A:Math. Gen., 38 (2005), 6335--6349
(pdf file)
- Fialowski, A., Schlichenmaier, M., "Global geometric deformations
of current algebras as Krichever-Novikov type algebras,"
Comm. Math. Phys., 260 (2005), 579--612
(pdf file).
- Fialowski, A., de Montigny, M., "On deformations and contractions of
Lie algebras" in Symmetry, Integrability and Geometry: Methods
and Appl. (SIGMA), 2 (2006), 10 pages
(
pdf file)
(pdf file)
- Fialowski, A., "The moduli space and versal deformations of three
dimensional Lie algebras", Algebras and Rings and their
Representations, Proc. Intern. Algebra Conf. (2006), (World
Scientific), 79--92 (pdf file).
- Fialowski, A., de Montigny, M., "Contractions and deformations of Lie
algebras in Physics", Albert Einstein Century International Conference,
Springer (2006), 328--335
- Fialowski, A., Millionschikov, D.V., "Cohomology of Graded Lie Algebras
of Maximal Class," Journal of Algebra, 296 (2006), 157--176
(pdf file).
- Fialowski, A., Novikov, S., de Montigny, M., Schlichenmaier, M. (ed),
"Deformations and Contractions in Mathematics and Physics", Oberwolfach
Reports, 3 (2006), 119--186 (
pdf file)
- Fialowski, A., Penkava, M., "Examples of Miniversal Deformations of
L∞ Algebras," Forum Mathematicum, 19(3)
(2007), 463--486
(pdf file) .
- Fialowski, A., Penkava, M., "Versal Deformations of Four Dimensional Lie
Algebras", Commun. in Contemporary Math, 9 (2007), no. 1, 41--79
(pdf file).
- Fialowski, A., "Deformations in Mathematics and Physics,"
Intern. Journal of Theor. Physics, 47(2) (2008), 333--337
(pdf file).
- Fialowski, A., Schlichenmaier, M., "Global Geometric Deformations of
the Virasoro algebra, current and affine algebras, by Krichever-Novikov
type algebras," Intern. Journal of Theor. Physics (2007) 46,
2707--2724
(arXiv pdf file).
- Fialowski, A., Wagemann, F., "Cohomology and deformations of the
infinite dimensional filiform Lie algebra m_0", Journal of
Algebra, 318 (2007), 1002--1026
(pdf file).
- Fialowski, A., Penkava, M. "Extensions of L∞ algebras
of 2 even and 1 odd dimension", Forum Mathematicum,
19 (2007), 463--486
(pdf file).
- Daily, M., Fialowski, A., Penkava, M., "Comparison of 3-dimensional
Z-graded and Z2 graded L∞ algebras",
Comm. Alg., 36 (2008), 232--257
(arXiv pdf file)
- Fialowski, A., Penkava, M. "Formal deformations, contractions and
moduli spaces of Lie algebras", International Journal of
Theoretical Physics, 47 (2008), 561--582
(arXiv pdf file).
- Fialowski, A., Wagemann, F., "Cohomology and deformations of the infinite
dimensional filiform Lie algebra m2", Journal of Algebra,
319 (2008) 5125--5143 (pdf file).
- Fialowski, A., Penkava, M., "Moduli spaces of low dimensional real Lie
algebras," Journal of Math. Physics, 49, 073507 (2008)
(pdf file).
- Fialowski, A., Mandal, A., and Mukherjee, G., "Versal Deformations of
Leibniz Algebras," J. of K-Theory, doi:10.1017/is008004027jkt049
(2008). (pdf file; see also
ArXiv pdf file).
- Fialowski, M., Mandal, A., "Leibniz algebra deformations of a Lie
algebra", Journal of Math. Physics, 49, 093512 (2008),
10 pages ( pdf file).
- Fialowski, A., Szilárd, Á., "Seminar Sophus Lie," EMS
Newsletter, September 2008, 14--16 (
pdf file)
- Fialowski, A., Penkava, M., "The moduli space of 3-dimensional
associative algebras," Comm. in Algebra 37 (2009), 3666--3685
(pdf file).
- Fialowski, A., Penkava, M., "Extensions of (super) Lie algebras,"
Comm. in Contemp. Math., 11 (2009), 709--737
(ArXiv:math.RT/0611234).
- Fialowski, A., Majumdar, A., "Miniversal deformations of dialgebras,"
Comm. in Contemp. Math., 11 (2009), 413--432
(pdf file).
- Fialowski, A., Wagemann, F., "Associative Algebra deformation of
Connes-Moscovici's Hopf algebra," J. of Algebra, 323
(2010) 2026--2040
(arXiv pdf file)
or (pdf file)
- Fialowski, A., Fröhlich, J., Schlichenmaier, M.,
"Deformation Methods in Mathematics and Physics",
Oberwolfach Reports, 7 (2010)2503--2560
- Fialowski, A., Penkava, M., Phillipson, M., "Deformations of
complex 3-dimensional associative algebras," J. of Generalized Lie
Theory and Appl., 5 (2011), ID: G110102, 22 pages
(also pdf file).
- Fialowski, A., "Algebraic Deformation Theory," Thesis for Doctor
of the Hungarian Academy of Sciences , Budapest 2012, 156 pages,
(pdf file)
- Brunshidle, L., Fialowski, A., Frinak, J., Penkava, M., Wackwitz,
D., "Fundamental Theorem of finite dimensional Z_2-graded associative
algebras", Communications in Algebra, 40 (11), 2012, 4068-4088.
(pdf file),
- Fialowski, A., Penkava, M., "Extensions of Associative Algebras"
(pdf file), online in
Communications in Contemp. Math. (2014)
- Fialowski, A., Magnin, L., & Mandal, A., "About Leibniz
Cohomology and Deformations of Lie Algebras"
( pdf file),
Journal of Algebra (2013)
- Fialowski, A., "Formal rigidity of the Witt and Virasoro
algebra" (pdf file)
Journal of Mathematical Physics 53 (2012), 073501.
- Fialowski, A., Khudoyberiyev, A.Kh., Omirov, B.A.,
"A characterization of nilpotent Leibniz algebras", Algebras and
Representations, October 2012.
pdf file
- Fialowski, A., Penkava, M., "The moduli space of 4-dimensional
non-nilpotent complex associative algebras", Forum Mathematicum,
online 2013. [pdf file]
- Fialowsk, A., Mukherjee, G., Naolekar, A., "Versal Deformation Theory of
Algebras over a Quadratic Operad," Homology, Homotopy and
Appl., 16 179-198 (2014) pdf file
- Fialowski, A., "A comparison of Leibniz and Lie cohomology and
deformation," Proc. of Algebra, Geometry and Math. Physics Conference, 2011
Mulhouse, Springer 2013, pp. 199-212.
[pdf file]
- Fialowski, A., Penkava, M., "Deformations of nilpotent associative
algebras of dimension 4," Linear Algebra and Appl., 457 408-427
(2014)
[pdf file]
- Burde, D., Fialowski, A., "Jacobi-Jordan Algebras," Linear Algebra and
Appl., 459 586-594 (2014)
[pdf file]
- Fialowski, A., "Deformations and Contractions of Algebraic
Structures," Proc. Steklov Inst. Math., 286 240-252 (2014)
[pdf file]
- Fialowski, A., Mihalka, E.Zs., " Representations of Leibniz
algebras," Algebras and Representation Theory, 18 477-490 (2015)
[pdf file]
- Evans, T., Fialowski, A., Penkava, M., "Restricted Cohomology of
Modular Witt Algebras," Proc. of AMS, 144 1877-1886 (2016)
[ Math ArXiv:1502.04531(RA)]
- Fialowski, A., Penkava, M., "The moduli space of 4-dimensional
non-nilpotent complex associative algebras," Forum Mathematicum
27 1401-1434 (2015)
[(pdf file)]
- Fialowski, A., Penkava, M., "On singular formal deformations,"
Archiv der Math., 106 431-438 (2016)
[pdf file]
- Fialowski, A., Penkava, M., "The moduli space of complex 5-dimensional
Lie algebras," Journal of Algebra, 458 422-444 (2016)
[ pdf file
- Fialowski, A., "The moduli space and versal deformations of
algebraic Structures," Lecture Notes of TICMI, 17 19-34 (2016)
(pdf file)
- Fialowski, A., "Global Deformations of the Witt and Virasoro
algebra," Bull. of Tbilisi Intern. Centre of Mathematics and
Informatics, 20 3-10 (2016) [
pdf file
- Fialowski, A., Hilgert, J., Orsted, B., Salnikov, V.,
"Discoveries, not Inventions: interview with Ernest Borisovich Vinberg,"
Newsletter of the European Mathematical Society, 102
31-34 (2016),
pdf file
- Fialowski, A., Book review of M. Schlichenmaier,
"Krichever-Novikov type algebras: Theory and Applications,"
Newsletter of the EMS, 103 58-59 (2017)
- Evans, T., Fialowski, A., "Restricted one-dimensional central
extensions of restricted simple Lie algebras,"
Linear Algebra and its Applications, 513 96-102 (2017)
[ pdf file]
- Fialowski, A., Grabowska, K., Grabowski, J., Neeb, K-H (ed.),
"50th Seminar Sophus Lie. Book,, Warszawa: Stefan Banach
International Mathematical Center, 2017. 113.
[pdf file ]
- Fialowski A, Neretin Yu, Pevzner M, Salnikov V "Liberte aux
professeurs associes!" Interview with Alexandre Alexandrovich
Kirillov, Newsletter of the EMS, 106 21-29. (2017)
[pdf file ]
- Matyas B, Bautista G, Szarka M, Jarvas G, Kusper G, Argay I,
Fialowski A, Matyas G. "A novel data storage logic in the cloud"
F1000Research, 5 Paper 93, 12 p. (2017)
- Fialowski, Alice (ed.); Varga, Csaba(ed.) Haar, Alfred:
Variacioszamitas Cluj-Napoca, Romania, Abel Publishing
House (2019), ISBN: 9789731142586
- Evans, T. ; Fialowski, A., "Restricted one-dimensional central
extensions of the restricted filiform Lie algebras
m0λ(p)"
Linear Algebra and Its Applications, 565, 244-257. (2019),
[pdf file]
- Evans, T. ; Fialowski, A., "Cohomology of Restricted Filiform
Lie Algebras m2λ(p)",
Symmetry Integrability and Geometry-Methods and Applications,
15 Paper: 95 , 11 p. (2019),
[ pdf file ]
- Fialowski, A.: "Lie algebras with invariant inner product, and
their cohomology". In: Nonassociative Algebras and Applications
(2018) pp. 1-1. , 1 p.
- Fialowski, A ; Penkava, M.,"Stratification of moduli spaces of
Lie algebras, similar matrices and bilinear forms" Journal of
Algebra, 498, 315-335. (2018) pdf file
- Fialowski, A. (ed.), Grabowska, K. (ed.), Grabowski, J. (ed.),
Neeb, K-H, (ed.), "50th Seminar Sophus Lie: a keynote address
to the 50th session of Seminar Sophus Lie," Banach Center
Publications, 408 pages (2017)
pdf file
- Fialowski, A., "Infinity: Ancient and New",
Humboldt Nachrichten, 37 pp. 5-20. , 16 p. (2019)
[pdf file ]
- Fialowski, A., "On Lie Algebras with an Invariant Inner
Product". In: Natroshvili, D.; Jaiani, G.(ed.), Applications of
Mathematics and Informatics in Natural Sciences and Engineering,
Springer (2020) pp. 135-151. Paper: Chapter 9 , 135-152.
- Fialowski , A.; Iohara, K., "Homology of the Lie algebra
gl(∞,R)," Annali della Scuola Normale Superiore Di
Pisa-Classe Di Scienze, 22, 835-852.(2021)
pdf file
- Alice, Fialowski (ed.) ; Katarzyna, Grabowska (ed.) ; Janusz,
Grabowski (ed.) ; Martin, Schlichenmaier (ed.), Banach Center
Publications, (0137-6934 ) (2021) Volume 123.
pdf file
- Fialowski, A. ; Penkava, M., "Moduli spaces of
low-dimensional Lie superalgebras", International Journal of
Mathematics, Paper: 2150059 (2021) pdf file
- Fialowski, Alice ; Penkava, Michael, "On the Cohomology of
Lie Algebras with an Invariant Inner Product," Algebras and
Representation Theory, (2021) pdf file
- Fialowski, A.; Iohara, K., "On Lie algebras of generalized
Jacobi matrices", Banach Center Publications, 123 pp. 175-186. ,
12 p. (2021) pdf file
- Fialowski, A. ; Iohara, K. "Homology of Lie algebras of
orthogonal and symplectic generalized Jacobi matrices" Rendiconti
Lincei - Matematica e Applicazioni, 31 : 3 pp. 549-564. (2020)
pdf file
- Fialowski, A.; Mandal, A., "On metric Leibniz algebras and
Deformations", Intern. Journal of Algebra and Computations,
32 (3), 597-616 (2022) pdf file
- Evans, T. ; Fialowski, A. "Central Extensions of Restricted Affine
Nilpotent Lie Algebras n(+)(A(1)((1)))(p)", Journal of Lie Theory,
33 (1), 195-215 (2023) pdf file
- Fialowski, A.; Iohara, K.; Saito, Y., "Classification of marked elliptic
root systems with non-reduced affine quotient", Arxiv 2304.03976 v.2 (2023)
(arxiv pdf file).