Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Veerapen, Padmini"'
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
We review several techniques that twist an algebra's multiplicative structure. We first consider twists by an automorphism, also known as Zhang twists, and we relate them to 2-cocycle twists of certain bialgebras. We then outline the classification a
Externí odkaz:
http://arxiv.org/abs/2211.15885
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:
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
Publikováno v:
Algebras and Representation Theory, 2023, 26, 329-358
In this paper, we study the invariant theory of quadratic Poisson algebras. Let G be a finite group of the graded Poisson automorphisms of a quadratic Poisson algebra A. When the Poisson bracket of A is skew-symmetric, a Poisson version of the Shepha
Externí odkaz:
http://arxiv.org/abs/2006.09280
Autor:
Vancliff, Michaela, Veerapen, Padmini
Publikováno v:
Journal of Algebra, 420 (2014), 54-64
Results of Vancliff, Van Rompay and Willaert in 1998 prove that point modules over a regular graded Clifford algebra (GCA) are determined by (commutative) quadrics of rank at most two that belong to the quadric system associated to the GCA. In 2010,
Externí odkaz:
http://arxiv.org/abs/1910.09018
Autor:
Vancliff, Michaela, Veerapen, Padmini
Publikováno v:
Contemporary Math. 592 (2013), 241-250
In 2010, Cassidy and Vancliff extended the notion of a quadratic form on n generators to the noncommutative setting. In this article, we suggest a notion of rank for such noncommutative quadratic forms, where n = 2 or 3. Since writing an arbitrary qu
Externí odkaz:
http://arxiv.org/abs/1910.09016
In this paper, we extend previous work, where a notion of rank, called mu-rank, was proposed for noncommutative quadratic forms on two and three generators. In particular, we provide a definition of mu-rank one and two for noncommutative quadratic fo
Externí odkaz:
http://arxiv.org/abs/1910.09012