Zobrazeno 1 - 10
of 1 897
pro vyhledávání: '"16T05"'
Let $G$ be a group coacting on an Artin-Schelter regular algebra $A$ homogeneously and inner-faithfully. When the identity component $A_e$ is also Artin-Schelter regular, providing a generalization of the Shephard-Todd-Chevalley Theorem, we say that
Externí odkaz:
http://arxiv.org/abs/2410.08959
We identify general conditions, formulated using the projection formula morphisms, for a functor that is simultaneously left and right adjoint to a strong monoidal functor to be a Frobenius monoidal functor. Moreover, we identify stronger conditions
Externí odkaz:
http://arxiv.org/abs/2410.08702
Autor:
Li, Fengchang
We research $U_{v}(A(0,2)^{(4)})^{+}$ defined by quantum Serre relations, when $v$ is not a root of unity. We prove that $U_{v}(A(0,2)^{(4)})^{+}$ is isomorphic to a Nichols algebra. In other words, it is equivalent to define $U_{v}(A(0,2)^{(4)})^{+}
Externí odkaz:
http://arxiv.org/abs/2410.04502
Autor:
Yu, Jing, Liu, Gongxiang
We try to classify Hopf algebras with the dual Chevalley property of discrete corepresentation type over an algebraically closed field $\Bbb{k}$ with characteristic 0. For such Hopf algebra $H$, we characterize the link quiver of $H$ and determine th
Externí odkaz:
http://arxiv.org/abs/2409.20292
Autor:
Rubiano, Andrés, Reyes, Armando
In this paper, we investigate the differential smoothness of skew PBW extensions over commutative polynomial rings on one and two indeterminates.
Comment: 60 pages. arXiv admin note: text overlap with arXiv:2408.16648, arXiv:2409.10264; text ove
Comment: 60 pages. arXiv admin note: text overlap with arXiv:2408.16648, arXiv:2409.10264; text ove
Externí odkaz:
http://arxiv.org/abs/2409.18947
We consider actions of Taft algebras on noetherian graded down-up algebras. We classify all such actions and determine properties of the corresponding invariant rings $A^T$. We identify precisely when $A^T$ is commutative, when it is Artin-Schelter r
Externí odkaz:
http://arxiv.org/abs/2409.17890
Autor:
Yang, Tao
This paper uses Galois maps to give a definition of generalized multiplier Hopf coquasigroups, and give a sufficient and necessary condition for a multiplier bialgebra to be a regular multiplier Hopf coquasigroup. Then coactions and Yetter-Drinfeld q
Externí odkaz:
http://arxiv.org/abs/2409.07788
We establish a structure theorem, analogous to the classical result of Milnor and Moore, for differential graded Hopf algebras: any differential Hopf algebra $H$ that is free as a coalgebra carries an underlying $B_\infty$ algebra structure that rest
Externí odkaz:
http://arxiv.org/abs/2409.06632
Autor:
Rubiano, Andrés, Reyes, Armando
In this paper, we investigate the differential smoothness of bi-quadratic algebras on three generators with PBW basis.
Comment: 21 pages, 8 tables. arXiv admin note: text overlap with arXiv:1410.6587 by other authors
Comment: 21 pages, 8 tables. arXiv admin note: text overlap with arXiv:1410.6587 by other authors
Externí odkaz:
http://arxiv.org/abs/2408.16648
Autor:
Li, Bowen, Liu, Gongxiang
We study the quantum double of a finite abelian group $G$ twisted by a $3$-cocycle and give a sufficient condition when such a twisted quantum double will be gauge equivalent to a ordinary quantum double of a finite group. Moreover, we will determine
Externí odkaz:
http://arxiv.org/abs/2408.09353