7 citations · 40 across the 36 of their papers we have counts for
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Morita equivalence problem for symplectic reflection algebras
Akaki Tikaradze
In this paper we fully solve the Morita equivalence problem for symplectic reflection algebras associated to direct products of finite subgroups of . Namely, give…
A simple proof of the first Kac-Weisfeiler conjecture for algebraic Lie algebras in large characteristics
Akaki Tikaradze
Given a Lie algebra of an algebraic group over a ring we show that the first Kac-Weisfeiler conjecture holds for reductions of for large e…
A proof of the first Kac-Weisfeiler conjecture in large characteristics
Benjamin Martin, David Stewart, Akaki Tikaradze +1
In 1971, Kac and Weisfeiler made two influential conjectures describing the dimensions of simple modules of a restricted Lie algebra . The first predicts the maximal…
On Category over triangular Generalized Weyl Algebras
Apoorva Khare, Akaki Tikaradze
We analyze the BGG Category over a large class of generalized Weyl algebras (henceforth termed GWAs). Given such a "triangular" GWA for which Category d…
An analogue of the Kac-Weisfeiler conjecture
Akaki Tikaradze
In this paper we discuss an analogue of the Kac-Weisfeiler conjecture for a certain class of almost commutative algebras. In particular, we prove the Kac-Weisfeiler type statement…
Center of infinitesimal Cherednik algebras of gl_n
Akaki Tikaradze
We show that the center of infinitesimal Cherednik algebras of gl_n is isomorphic to the polynomial algebra in n variables. Based on this we derive consequences for representation…