Homology of Lie algebras of orthogonal and symplectic generalized Jacobi matrices

被引：2
|
作者：
Fialowski, Alice [1 ,2 ]
Iohara, Kenji [3 ]
机构：
[1] Univ Pecs, Dept Math, Ifjusag Utja 6, H-7624 Pecs, Hungary
[2] Eotvos Lorand Univ, Inst Math, Pazmany Peter Setany 1-C, H-1117 Budapest, Hungary
[3] Univ Lyon, Univ Lyon 1, CNRS UMR 5208, Inst Camille Jordan, 43 Blvd 11 Novembre 1918, F-69622 Villeurbanne, France
来源：
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2020年 / 31卷 / 03期
关键词：
Infinite dimensional Lie algebras; Lie algebra homology; invariant theory; dihedral homology;
D O I：
10.4171/RLM/904
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note, we compute the homology with trivial coefficients of Lie algebras of generalized Jacobi matrices of type B, C and D over an associative unital k-algebra with k being a field of characteristic 0.
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页码：549 / 564
页数：16
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