Crossed products of Calabi-Yau algebras by finite groups
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2020.106394
Abstract: Abstract Let a finite group G act on a differential graded algebra A. This article presents necessary conditions and sufficient conditions for the skew group algebra A ⁎ G to be Calabi-Yau. In particular, when… read more here.
Keywords: calabi yau; products calabi; yau; yau algebras ... See more keywords
On eight-dimensional unital division algebras over finite fields
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Algebra"
DOI: 10.1080/00927872.2017.1288235
Abstract: ABSTRACT The purpose of this paper is to investigate the eight-dimensional non-associative unital division algebras {0}≠A over finite fields, admitting elementary abelian 2-group of automorphisms E≤Aut(A), of order 8, using tools from algebraic geometry. read more here.
Keywords: finite fields; algebras finite; division algebras; unital division ... See more keywords
On the lengths of group algebras of finite abelian groups in the modular case
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498822501171
Abstract: In this paper, we address the question of finding the length of group algebras of finite abelian groups in the case when the characteristic of the ground field divides the order of the group. We… read more here.
Keywords: finite abelian; abelian groups; case; algebras finite ... See more keywords
Geometric Classification of Graph C*-algebras over Finite Graphs
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DOI: 10.4153/cjm-2017-016-7
Abstract: Abstract We address the classification problem for graph ${{C}^{*}}$ -algebras of finite graphs (finitely many edges and vertices), containing the class of Cuntz-Krieger algebras as a prominent special case. Contrasting earlier work, we do not… read more here.
Keywords: classification graph; graph algebras; graph; finite graphs ... See more keywords