Discriminants of Taft algebra smash products and applications

Autor:	Gaddis, Jason, Won, Robert, Yee, Daniel
Rok vydání:	2017
Předmět:	Mathematics - Rings and Algebras Mathematics - Quantum Algebra 16W20 16W22 11R29 16S36 16S40
Zdroj:	Algebras and Representation Theory, 22 (4), 2019, 785-799
Druh dokumentu:	Working Paper
DOI:	10.1007/s10468-018-9798-0
Popis:	A general criterion is given for when the center of a Taft algebra smash product is the fixed ring. This is applied to the study of the noncommutative discriminant. Our method relies on the Poisson methods of Nguyen, Trampel, and Yakimov, but also makes use of Poisson Ore extensions. Specifically, we fully determine the inner faithful actions of Taft algebras on quantum planes and quantum Weyl algebras. We compute the discriminant of the corresponding smash product and apply it to compute the Azumaya locus and restricted automorphism group. Comment: Small typos corrected. To appear in Algebras and Representation Theory. V2:Revisions throughout. Section 4 is now contained primarily in the appendix
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1707.02822 Zobrazit plný text záznamu View this record from Arxiv