no code implementations • 11 Jan 2021 • Trieu Le, Akaki Tikaradze
In this paper we generalize the classical theorems of Brown and Halmos about algebraic properties of Toeplitz operators to Bergman spaces over the unit ball in several complex variables.
Functional Analysis Complex Variables Operator Algebras 47B35, 32A36
no code implementations • 21 Dec 2020 • Akaki Tikaradze
Given the spherical subalgebra $B$ of a rational Cherednik algebra, we aim to classify all finite groups $\Gamma$ for which there exists a domain $R$ on which $\Gamma$ acts by ring automorphisms, such that $B=R^{\Gamma}.$ We describe such groups in terms of geometry of the center of the reduction of $B$ modulo a large prime.
Quantum Algebra Representation Theory
no code implementations • 5 Jun 2009 • Apoorva Khare, Akaki Tikaradze
Specifically, we study the smallest cardinal number $\aleph$, possibly infinite, such that a given $R$-module is a union of $\aleph$-many proper submodules.
Commutative Algebra Group Theory Number Theory 13F05 (primary), 13H99, 13F10 (secondary)
