Noncommutative curves and noncommutative surfaces
JT Stafford, M Van den Bergh - Bulletin of the American Mathematical …, 2001 - ams.org
In this survey article we describe some geometric results in the theory of noncommutative
rings and, more generally, in the theory of abelian categories. Roughly speaking and by …
rings and, more generally, in the theory of abelian categories. Roughly speaking and by …
Cherednik algebras and differential operators on quasi-invariants
Y Berest, P Etingof, V Ginzburg - 2003 - projecteuclid.org
We develop representation theory of the rational Cherednik algebra \rmH\sbc associated to
a finite Coxeter group W in a vector space h, and a parameter" c." We use it to show that, for …
a finite Coxeter group W in a vector space h, and a parameter" c." We use it to show that, for …
Noncommutative deformations of type-A Kleinian singularities
TJ Hodges - Journal of Algebra, 1993 - Elsevier
The type-A Kleinian singularities are the surfaces of the form C 2/G where G is a finite cyclic
subgroup of SL 2 (C). The standard noncommutative analog is the fixed ring of the Weyl …
subgroup of SL 2 (C). The standard noncommutative analog is the fixed ring of the Weyl …
The Weyl algebra and its friends: a survey
J Gaddis - arXiv preprint arXiv:2305.01609, 2023 - arxiv.org
arXiv:2305.01609v1 [math.RA] 2 May 2023 Page 1 arXiv:2305.01609v1 [math.RA] 2 May 2023
THE WEYL ALGEBRA AND ITS FRIENDS: A SURVEY JASON GADDIS Abstract. We survey …
THE WEYL ALGEBRA AND ITS FRIENDS: A SURVEY JASON GADDIS Abstract. We survey …
Reflexive hull discriminants and applications
We introduce the reflexive hull discriminant as a tool to study noncommutative algebras that
are finitely generated, but not necessarily free, over their centers. As an example, we …
are finitely generated, but not necessarily free, over their centers. As an example, we …
[PDF][PDF] Isomorphisms between quantum generalized Weyl algebras
L Richard, A Solotar - arXiv preprint math/0402413, 2004 - arxiv.org
arXiv:math/0402413v2 [math.QA] 2 Jul 2004 Page 1 arXiv:math/0402413v2 [math.QA] 2 Jul
2004 Isomorphisms between quantum generalized Weyl algebras Lionel Richard∗ and Andrea …
2004 Isomorphisms between quantum generalized Weyl algebras Lionel Richard∗ and Andrea …
Morita equivalence of Cherednik algebras
Y Berest, P Etingof, V Ginzburg - 2004 - degruyter.com
J. reine angew. Math. 568 Page 1 J. reine angew. Math. 568 (2004), 81—98 Journal für die
reine und angewandte Mathematik ( Walter de Gruyter Berlin Á New York 2004 Morita …
reine und angewandte Mathematik ( Walter de Gruyter Berlin Á New York 2004 Morita …
Morita equivalence of deformations of Kleinian singularities
A Tikaradze - arXiv preprint arXiv:2204.13647, 2022 - arxiv.org
In this paper we classify all Morita equivalent pairs of (classical) generalized Weyl algebras
for generic values of the parameters, thus positively settling a 30 year old question posed by …
for generic values of the parameters, thus positively settling a 30 year old question posed by …
Fixed rings of quantum generalized Weyl algebras
J Gaddis, P Ho - Communications in Algebra, 2020 - Taylor & Francis
Abstract Generalized Weyl algebras (GWAs) appear in diverse areas of mathematics
including mathematical physics, noncommutative algebra, and representation theory. We …
including mathematical physics, noncommutative algebra, and representation theory. We …
Morita equivalence problem for symplectic reflection algebras
A Tikaradze - arXiv preprint arXiv:2404.03811, 2024 - arxiv.org
In this paper we fully solve the Morita equivalence problem for symplectic reflection algebras
associated to direct products of finite subgroups of $ SL_2 (\mathbb {C}) $. Namely, given a …
associated to direct products of finite subgroups of $ SL_2 (\mathbb {C}) $. Namely, given a …