Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Huang, Hongdi"'
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
Automorphism, isomorphism, and embedding problems are investigated for a family of Nambu-Poisson algebras (or $n$-Lie Poisson algebras) using Poisson valuations.
Comment: 49 pages. arXiv admin note: text overlap with arXiv:2309.05511
Comment: 49 pages. arXiv admin note: text overlap with arXiv:2309.05511
Externí odkaz:
http://arxiv.org/abs/2312.00958
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
We study Poisson valuations and provide their applications in solving problems related to rigidity, automorphisms, Dixmier property, isomorphisms, and embeddings of Poisson algebras and fields.
Comment: 47 pages
Comment: 47 pages
Externí odkaz:
http://arxiv.org/abs/2309.05511
We discuss Poisson structures on a weighted polynomial algebra $A:=\Bbbk[x, y, z]$ defined by a homogeneous element $\Omega\in A$, called a potential. We start with classifying potentials $\Omega$ of degree deg$(x)+$deg$(y)+$deg$(z)$ with any positiv
Externí odkaz:
http://arxiv.org/abs/2309.00714
In this article, we discuss some recent developments of the Zariski Cancellation Problem in the setting of noncommutative algebras and Poisson algebras.
Comment: to appear in Contemp. Math., 16 pages
Comment: to appear in Contemp. Math., 16 pages
Externí odkaz:
http://arxiv.org/abs/2304.05914
In this paper, we present a generalization of well-established results regarding symmetries of $\Bbbk$-algebras, where $\Bbbk$ is a field. Traditionally, for a $\Bbbk$-algebra $A$, the group $\Bbbk$-algebra automorphisms of $A$ captures the symmetrie
Externí odkaz:
http://arxiv.org/abs/2209.11903
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