Akaki Tikaradze
Contact Info
Publications
selected publications
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Article (Faculty180)
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2022A generalization of the Brown-Halmos theorems for the unit ball. Advances in Mathematics. 404.
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2022A generalization of the Brown-Halmos theorems for the unit ball. Advances in Mathematics. 404.
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2022Coverings of modules by proper submodules. Communications in Algebra. 50:498–507.
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2022The noncommutative Noether’s problem is almost equivalent to the classical Noether’s problem. Advances in Mathematics. 396.
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2021A generalization of Veldkamp's theorem for a class of Lie algebras. Journal of Algebra. 579:64-72.
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2021Derived invariants of the fixed ring of enveloping algebras of semisimple Lie algebras. Mathematische Zeitschrift .
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2021Generic simplicity of quantum Hamiltonian reductions. Comptes Rendus Mathématique. Académie des Sciences. Paris. 359:739-742.
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2021Transitivity on Quiver Varieties. International Mathematics Research Notices.
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2020On automorphisms of enveloping algebras. International Mathematics Research Notices. 21:8183–8196.
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2019A Carlitz–von Staudt type theorem for finite rings. Linear Algebra and its Applications. 568:106-126.
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2019A proof of the first Kac-Weisfeiler conjecture in large characteristics. Representation Theory. 23:278–293.
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2019Invertibility of Toeplitz operators with polyanalytic symbols. Advances in Operator Theory. 4:793–801.
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2019On a theorem of Bishop and commutants of Toeplitz operators in Cn. Rendiconti del Circolo Matematico di Palermo. Second Series. 68:237–246.
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2019The Weyl algebra as a fixed ring. Advances in Mathematics. 345:756-766.
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2018On the local structure of quantizations in characteristic $p$. Bulletin of the London Mathematical Society. 50:159–165.
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2017Commutants of Toeplitz operators with harmonic symbols. New York Journal of Mathematics. 23:1723–1731.
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2017Commutants of Toeplitz operators with harmonic symbols. New York J. Math.. 23:1723.
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2017Commutants of Toeplitz operators with monomial symbols. Complex Analysis and Operator Theory. 11:943–946.
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2017Derivations of quantizations in characteristic p Author links open overlay panel. Journal of Algebra. 480:209-214.
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2017Ideals in deformation quantizations over $\Bbb{Z}/p^n\Bbb{Z}$. Journal of Pure and Applied Algebra. 221:229-236.
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2016Hochschild Cohomology of Deformation Quantizations over ℤ/p^nℤ. Algebra and Representation Theory. 19:209–214.
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2016On Category O over triangular generalized Weyl algebras. Journal of Algebra. 687-729.
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2015Multiplication operators on the Bergman spaces of pseudoconvex domains. New York Journal of Mathematics. 21:1327–1345.
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2013An analogue of the Kac-Weisfeiler conjecture. Journal of Algebra. 383:168–177.
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2012Centralizers of Toeplitz operators with polynomial symbols. Complex Analysis and Operator Theory. 6:1275–1279.
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2012On maximal primitive quotients of infinitesimal Cherednik algebras of $\germ{gl}_n$. Journal of Algebra. 355:171–175.
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2011On the Azumaya locus of almost commutative algebras. Proceedings of the American Mathematical Society. 139:1955–1960.
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2010Center and representations of infinitesimal Hecke algebras of $\germ{sl}_2$. Communications in Algebra. 405–439.
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2010Center of infinitesimal Cherednik algebras of ${\germ{gl}}_n$. . Representation Theory. 14:1-8.
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2009Infinitesimal Hecke algebras of $\germ{sl}_2$ in positive characteristic. Journal of Algebra. 321:117-127.
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2002Cross-effects of Mackey functors.. Communications in Algebra. 4211–4218.
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2002Homological constructions on $N$-complexes. Journal of Pure and Applied Algebra. 213–222.
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2000Remarks on the Vasconcelos conjecture. Bulletin of the Georgian Academy of Sciences. 213–215..
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1999Subdivision of the simplicial and semisimplicial objects. Bulletin of the Georgian Academy of Sciences. 396-398.
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Article (Web of Science)
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2021A generalization of Veldkamp's theorem for a class of Lie algebras. JOURNAL OF ALGEBRA. 579:64-72.Full Text via DOI: 10.1016/j.jalgebra.2021.03.018
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2021Covering modules by proper submodules. COMMUNICATIONS IN ALGEBRA.Full Text via DOI: 10.1080/00927872.2021.1959922
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2021Generic simplicity of quantum Hamiltonian reductions. COMPTES RENDUS MATHEMATIQUE. 359:739-742.Full Text via DOI: 10.5802/crmath.214
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2020Induced subgraphs of powers of oriented cycles. LINEAR & MULTILINEAR ALGEBRA.Full Text via DOI: 10.1080/03081087.2020.1836116
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2020Derived invariants of the fixed ring of enveloping algebras of semisimple Lie algebras. MATHEMATISCHE ZEITSCHRIFT.Full Text via DOI: 10.1007/s00209-020-02521-9
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2020On Automorphisms of Enveloping Algebras. INTERNATIONAL MATHEMATICS RESEARCH NOTICES. 2020:8183-8196.Full Text via DOI: 10.1093/imrn/rnz039
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2019A PROOF OF THE FIRST KAC-WEISFEILER CONJECTURE IN LARGE CHARACTERISTICS. REPRESENTATION THEORY. 23:278-293.Full Text via DOI: 10.1090/ert/529
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2019INVERTIBILITY OF TOEPLITZ OPERATORS WITH POLYANALYTIC SYMBOLS. ADVANCES IN OPERATOR THEORY. 4:793-794.Full Text via DOI: 10.15352/aot.1812-1451
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2019On a theorem of Bishop and commutants of Toeplitz operators inFull Text via DOI: 10.1007/s12215-018-0353-y
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2019A Carlitz-von Staudt type theorem for finite rings. LINEAR ALGEBRA AND ITS APPLICATIONS. 568:106-126.Full Text via DOI: 10.1016/j.laa.2018.05.035
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2019The Weyl algebra as a fixed ring. ADVANCES IN MATHEMATICS. 345:756-766.Full Text via DOI: 10.1016/j.aim.2019.01.005
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2018On the local structure of quantizations in characteristic p. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. 50:159-165.Full Text via DOI: 10.1112/blms.12128
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2017Derivations of quantizations in characteristic p. JOURNAL OF ALGEBRA. 480:209-214.Full Text via DOI: 10.1016/j.jalgebra.2017.02.008
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2017Commutants of Toeplitz Operators with Monomial Symbols. COMPLEX ANALYSIS AND OPERATOR THEORY. 11:943-946.Full Text via DOI: 10.1007/s11785-015-0442-2
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2017Commutants of Toeplitz operators with harmonic symbols. NEW YORK JOURNAL OF MATHEMATICS. 23:1723-1731.
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2017Ideals in deformation quantizations over Z/p(n)Z. JOURNAL OF PURE AND APPLIED ALGEBRA. 221:229-236.Full Text via DOI: 10.1016/j.jpaa.2016.06.005
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2016On Category O over triangular generalized Weyl algebras. JOURNAL OF ALGEBRA. 449:687-729.Full Text via DOI: 10.1016/j.jalgebra.2015.11.035
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2016Hochschild Cohomology of Deformation Quantizations Z/p(n)Z. ALGEBRAS AND REPRESENTATION THEORY. 19:209-214.Full Text via DOI: 10.1007/s10468-015-9570-7
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2015Multiplication operators on the Bergman spaces of pseudoconvex domains. NEW YORK JOURNAL OF MATHEMATICS. 21:1327-1345.
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2013An analogue of the Kac-Weisfeiler conjecture. JOURNAL OF ALGEBRA. 383:168-177.Full Text via DOI: 10.1016/j.jalgebra.2013.01.028
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2012Centralizers of Toeplitz Operators with Polynomial Symbols. COMPLEX ANALYSIS AND OPERATOR THEORY. 6:1275-1279.Full Text via DOI: 10.1007/s11785-011-0150-5
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2012On maximal primitive quotients of infinitesimal Cherednik algebras of gl(n). JOURNAL OF ALGEBRA. 355:171-175.Full Text via DOI: 10.1016/j.jalgebra.2012.01.013
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2011ON THE AZUMAYA LOCUS OF ALMOST COMMUTATIVE ALGEBRAS. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 139:1955-1960.
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2010CENTER AND REPRESENTATIONS OF INFINITESIMAL HECKE ALGEBRAS OF sl(2). COMMUNICATIONS IN ALGEBRA. 38:405-439.Full Text via DOI: 10.1080/00927870903448740
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2010On the Azumaya locus of almost commutative algebras. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 139:1955-1960.Full Text via DOI: 10.1090/s0002-9939-2010-10642-1
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2009Infinitesimal Hecke algebras of sl(2) in positive characteristic. JOURNAL OF ALGEBRA. 321:117-127.Full Text via DOI: 10.1016/j.jalgebra.2008.10.005
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2002CROSS-EFFECTS OF MACKEY FUNCTORS. COMMUNICATIONS IN ALGEBRA. 30:4211-4218.Full Text via DOI: 10.1081/agb-120013314
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2002Homological constructions on N-complexes. JOURNAL OF PURE AND APPLIED ALGEBRA. 176:213-222.Full Text via DOI: 10.1016/s0022-4049(02)00076-2
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- Akaki Tikaradze
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