Zobrazeno 1 - 10
of 2 745
pro vyhledávání: '"Van, C."'
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:
Nguyen, Van C., Veliche, Oana
Let $(R,\mathfrak m, \mathsf k)$ be a complete intersection local ring, $K$ be the Koszul complex on a minimal set of generators of $\mathfrak m$, and $A=H(K)$ be its homology algebra. We establish exact sequences involving direct sums of the compone
Externí odkaz:
http://arxiv.org/abs/2212.02606
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
Autor:
Erin F. Hamilton, Collin L. Juurakko, Katja Engel, Peter van C. de Groot, John M. Casselman, Charles W. Greer, Josh D. Neufeld, Virginia K. Walker
Publikováno v:
Arctic Science, Vol 10, Iss 1, Pp 125-139 (2024)
At high latitudes, lake whitefish (Coregonus clupeaformis) and others in the closely related Coregonus species complex (CSC) including cisco (C. autumnalis and C. sardinella) can be diadromous, seasonally transitioning between freshwater lakes and th
Externí odkaz:
https://doaj.org/article/baa05850180e4a8aa022f467b1ead98b
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:
ZAPATKA, KASEY, TRAN, VAN C.
Publikováno v:
RSF: The Russell Sage Foundation Journal of the Social Sciences, 2023 Feb 01. 9(1), 52-84.
Externí odkaz:
https://www.jstor.org/stable/48717622
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
Publikováno v:
In Journal of Mathematical Economics April 2024 111
Over an algebraically closed field $\mathbb k$ of characteristic zero, the Drinfeld double $D_n$ of the Taft algebra that is defined using a primitive $n$th root of unity $q \in \mathbb k$ for $n \geq 2$ is a quasitriangular Hopf algebra. Kauffman an
Externí odkaz:
http://arxiv.org/abs/2012.15277