On the Cohomology of Lie Algebras with an Invariant Inner Product

被引：3
|
作者：
Fialowski, Alice [1 ]
Penkava, Michael [2 ]
机构：
[1] Univ Pecs, Eotvos Lorand Univ, Budapest, Hungary
[2] Univ Wisconsin, Eau Claire, WI 54702 USA
来源：
ALGEBRAS AND REPRESENTATION THEORY | 2022年 / 25卷 / 05期
关键词：
Lie algebras; Cyclic cohomology; Invariant inner products; Metric deformations; MODULI SPACE; DEFORMATIONS;
D O I：
10.1007/s10468-021-10061-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work we consider the moduli space of all noncommutative metric Lie algebras, having a nondegenerate symmetric invariant bilinear form, over C and R up to dimension 5 and all metric Lie algebras over C in dimension 6. We introduce cyclic and reduced cyclic cohomology to identify their metric deformations.
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页码：1107 / 1131
页数：25
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