arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1502.01744math.RAmath.QA
收藏

Exotic Elliptic Algebras

Alex Chirvasitu, S. Paul Smith

备注：
v1=32 pp. v2=36 pp. Added appendix; change to proof of Prop. 10.2. v3=44 pp. Corrections and changed sections 3, 4; new results in section 10 describing families of line modules parametrized by $E/\langleξ\rangle$, $ξ$ has order 2. v4=45 pp. New results: $\widetilde{B}$ is a prime ring; the map $E/\langleξ\rangle \to {\mathbb G}(1,3)$ is a closed immersion
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

英文摘要：

This paper examines a general method for producing twists of a comodule algebra by tensoring it with a torsor then taking co-invariants. We examine the properties that pass from the original algebra to the twisted algebra and vice versa. We then examine the special case where the algebra is a 4-dimensional Sklyanin algebra viewed as a comodule algebra over the Hopf algebra of functions on the non-cyclic group of order 4 with the torsor being the 2x2 matrix algebra. The twisted algebra is an "exotic elliptic algebra". We show that the twisted algebra has many of the good properties that the Sklyanin algebra has, and that it has some new properties that make it quite unusual by comparison.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑