Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Vashaw, Kent B."'
We show that if two $m$-homogeneous algebras have Morita equivalent graded module categories, then they are quantum-symmetrically equivalent, that is, there is a monoidal equivalence between the categories of comodules for their associated universal
Externí odkaz:
http://arxiv.org/abs/2405.12201
Autor:
Huang, Hongdi, Vashaw, Kent B.
Let $G$ be a group acting on a left or right rigid monoidal triangulated category ${\mathbf K}$ which has a Noetherian Balmer spectrum. We prove that the Balmer spectrum of the crossed product category of ${\mathbf K}$ by $G$ is homeomorphic to the s
Externí odkaz:
http://arxiv.org/abs/2311.18638
In this paper the authors prove fundamental decomposition theorems pertaining to the internal structure of monoidal triangulated categories (M$\Delta$Cs). The tensor structure of an M$\Delta$C enables one to view these categories like (noncommutative
Externí odkaz:
http://arxiv.org/abs/2311.17883
Autor:
Cao, George, Vashaw, Kent B.
Dave Benson conjectured in 2020 that if $G$ is a finite $2$-group and $V$ is an odd-dimensional indecomposable representation of $G$ over an algebraically closed field $\Bbbk$ of characteristic $2$, then the only odd-dimensional indecomposable summan
Externí odkaz:
http://arxiv.org/abs/2301.04274
Autor:
Huang, Hongdi, Nguyen, Van C., Ure, Charlotte, Vashaw, Kent B., Veerapen, Padmini, Wang, Xingting
We introduce the notion of quantum-symmetric equivalence of two connected graded algebras, based on Morita-Takeuchi equivalences of their universal quantum groups, in the sense of Manin. We study homological and algebraic invariants of quantum-symmet
Externí odkaz:
http://arxiv.org/abs/2209.11621
Finite tensor categories (FTCs) $\bf T$ are important generalizations of the categories of finite dimensional modules of finite dimensional Hopf algebras, which play a key role in many areas of mathematics and mathematical physics. There are two fund
Externí odkaz:
http://arxiv.org/abs/2112.11170
Autor:
Huang, Hongdi, Nguyen, Van C., Ure, Charlotte, Vashaw, Kent B., Veerapen, Padmini, Wang, Xingting
We construct a family of cogroupoids associated to preregular forms and recover the Morita-Takeuchi equivalence for Artin-Schelter regular algebras of dimension two, observed by Raedschelders and Van den Bergh. Moreover, we study the 2-cocycle twists
Externí odkaz:
http://arxiv.org/abs/2112.09098
Autor:
Huang, Hongdi, Nguyen, Van C., Ure, Charlotte, Vashaw, Kent B., Veerapen, Padmini, Wang, Xingting
Let $H$ be a Hopf algebra that is $\mathbb Z$-graded as an algebra. We provide sufficient conditions for a 2-cocycle twist of $H$ to be a Zhang twist of $H$. In particular, we introduce the notion of a twisting pair for $H$ such that the Zhang twist
Externí odkaz:
http://arxiv.org/abs/2109.11585
Autor:
Huang, Hongdi, Nguyen, Van C., Ure, Charlotte, Vashaw, Kent B., Veerapen, Padmini, Wang, Xingting
Publikováno v:
In Advances in Mathematics May 2024 445
Autor:
Vashaw, Kent B.
Publikováno v:
Alg. Number Th. 18 (2024) 1081-1116
The Balmer spectrum of a monoidal triangulated category is an important geometric construction which is closely related to the problem of classifying thick tensor ideals. We prove that the forgetful functor from the Drinfeld center of a finite tensor
Externí odkaz:
http://arxiv.org/abs/2010.11287