The variety of Lie bialgebras

被引：0

作者：

Ciccoli, N ^{[1
]}

Guerra, L ^{[1
]}

机构：

[1] Univ Perugia, Dipartimento Matemat, I-06123 Perugia, Italy

来源：

JOURNAL OF LIE THEORY | 2003年 / 13卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define a Lie bialgebra cohomology as the total cohomology of a double complex constructed from a Lie algebra and its dual, we show that its 2-cocycles classify Lie bialgebra formal deformations and we prove the usual cohomological condition (i. e. H-2 = 0) for formal rigidity. Lastly we describe the results of explicit computations in low-dimensional cases.

引用

页码：579 / 590

页数：12

共 50 条

[31] Lie 2-Bialgebras
Chengming Bai
Yunhe Sheng
Chenchang Zhu
Communications in Mathematical Physics, 2013, 320 : 149 - 172
[32] On Quantizable Odd Lie Bialgebras
Khoroshkin, Anton
Merkulov, Sergei
Willwacher, Thomas
LETTERS IN MATHEMATICAL PHYSICS, 2016, 106 (09) : 1199 - 1215
[33] Factorizable Lie Bialgebras, Quadratic Rota-Baxter Lie Algebras and Rota-Baxter Lie Bialgebras
Lang, Honglei
Sheng, Yunhe
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2023, 397 (02) : 763 - 791
[34] Quantization of Lie bialgebras revisited
Severa, Pavol
SELECTA MATHEMATICA-NEW SERIES, 2016, 22 (03): : 1563 - 1581
[35] On simple real Lie bialgebras
Andruskiewitsch, N
Jancsa, P
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2004, 2004 (03) : 139 - 158
[36] On the associative analog of Lie bialgebras
Aguiar, M
JOURNAL OF ALGEBRA, 2001, 244 (02) : 492 - 532
[37] Hamiltonian type Lie bialgebras
Bin Xin
Guang-ai Song
Yu-cai Su
Science in China Series A: Mathematics, 2007, 50 : 1267 - 1279
[38] LIE BIALGEBRAS MODULES AND COHOMOLOGY
LECOMTE, PBA
ROGER, C
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1990, 310 (06): : 405 - 410
[39] Extending Structures for Lie Bialgebras
Hong, Yanyong
JOURNAL OF LIE THEORY, 2023, 33 (03) : 783 - 798
[40] Quantization of inhomogeneous Lie bialgebras
Kulish, PP
Mudrov, AI
JOURNAL OF GEOMETRY AND PHYSICS, 2002, 42 (1-2) : 64 - 77

← 1 2 3 4 5 →