Twisted Calabi–Yau property of right coideal subalgebras of quantized enveloping algebras
Twisted Calabi–Yau property of right coideal subalgebras of quantized enveloping algebras
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DOI：
10.1016/j.jalgebra.2013.10.019
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发表时间：
2014-02
影响因子：
0.9
通讯作者：
L.-Y. Liu;Q.-S. Wu
中科院分区：
文献类型：
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作者：
L.-Y. Liu;Q.-S. Wu
假设 U 是某个有限维半单李代数 g 的量化包络代数，C 是 U 的右共理想子代数，使得 C 中包含的类群元素形成一个群。那么 C 是 Artin-Schelter 正则和扭曲 Calabi-Yau。如果 C 包含在 Borel 部分 U⩾ 0 中，则 C 的中山自同构也确定。
Suppose that U is the quantized enveloping algebra of some finite-dimensional semisimple Lie algebra g and C is a right coideal subalgebra of U such that the group-like elements contained in C form a group. Then C is Artin–Schelter regular and twisted Calabi–Yau. The Nakayama automorphism of C is also determined if C is contained in the Borel part U⩾ 0.