The Poisson cohomology of sl*2 (R)

被引：0

作者：

Marcut, Ioan ^{[1
]}

Zeiser, Florian ^{[2
]}

机构：

[1] Radboud Univ Nijmegen, NL-6500 GL Nijmegen, Netherlands

[2] Univ Illinois, Urbana, IL 61801 USA

来源：

JOURNAL OF SYMPLECTIC GEOMETRY | 2023年 / 21卷 / 03期

关键词：

GEOMETRY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute the smooth Poisson cohomology of the linear Poisson structure associated with the Lie algebra sl(2)(R), or equivalently, the Lie algebra cohomology of sl(2)(R) with coefficients C-infinity(sl(2)(R))

引用

页码：603 / 652

页数：50

共 50 条

[31] The variational Poisson cohomology
Alberto De Sole
Victor G. Kac
Japanese Journal of Mathematics, 2013, 8 : 1 - 145
[32] Cohomology of a Poisson Algebra
V. V. Zharinov
Theoretical and Mathematical Physics, 2003, 136 : 1049 - 1065
[33] Cohomology of a Poisson algebra
Zharinov, VV
THEORETICAL AND MATHEMATICAL PHYSICS, 2003, 136 (02) : 1049 - 1065
[34] Invariant generalized functions on sl(2,R) with values in a sl(2,R)-module
Lavaud, P
JOURNAL OF FUNCTIONAL ANALYSIS, 2005, 219 (01) : 226 - 244
[35] QUANTIZATION OF THE CLASSICAL SL(2,R) SYSTEM AND REPRESENTATIONS OF SL(2,R) GROUP
PLYUSHCHAY, MS
JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (09) : 3954 - 3963
[36] Poisson cohomology of plane quadratic Poisson structures
Nakanishi, N
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1997, 33 (01) : 73 - 89
[37] Boundary compactifications of SL(2, R) and SL(2, C)
Iozzi, A
Poritz, JA
FORUM MATHEMATICUM, 1999, 11 (03) : 385 - 397
[38] Formal Poisson cohomology of quadratic Poisson structures
Monnier, P
LETTERS IN MATHEMATICAL PHYSICS, 2002, 59 (03) : 253 - 267
[39] Cohomology of the Poisson Superalgebra on Spaces of Superdimension (2, n−)
S. E. Konstein
I. V. Tyutin
Theoretical and Mathematical Physics, 2005, 145 : 1619 - 1645
[40] Formal Poisson Cohomology of Quadratic Poisson Structures
Philippe Monnier
Letters in Mathematical Physics, 2002, 59 : 253 - 267

← 1 2 3 4 5 →