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

[21] UNIVERSAL KHOVANOV-ROZANSKY sl(2) COHOMOLOGY
Caprau, Carmen
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2010, 19 (06) : 739 - 761
[22] THE SECOND COHOMOLOGY OF SIMPLE SL2-MODULES
Stewart, David I.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (02) : 427 - 434
[23] On the cohomology of SL2 with coefficients in a simple module
Rizkallah, John
COMMUNICATIONS IN ALGEBRA, 2017, 45 (04) : 1785 - 1792
[24] Poisson cohomology of SU(2)-covariant "necklace" Poisson structures on S2
Roytenberg, D
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2002, 9 (03) : 347 - 356
[25] Poisson Cohomology of SU(2)-Covariant “Necklace” Poisson Structures on S2
Dmitry Roytenberg
Journal of Nonlinear Mathematical Physics, 2002, 9 : 347 - 356
[26] The variational Poisson cohomology
De Sole, Alberto
Kac, Victor G.
JAPANESE JOURNAL OF MATHEMATICS, 2013, 8 (01): : 1 - 145
[27] Formal Poisson cohomology of twisted r-matrix induced structures
Mourad Ammar
Norbert Poncin
Israel Journal of Mathematics, 2008, 165 : 381 - 411
[28] Formal Poisson cohomology of twisted r-matrix induced structures
Ammar, Mourad
Poncin, Norbert
ISRAEL JOURNAL OF MATHEMATICS, 2008, 165 (01) : 381 - 411
[29] POISSON COHOMOLOGY AND QUANTIZATION
HUEBSCHMANN, J
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1990, 408 : 57 - 113
[30] Holomorphic Poisson Cohomology
Chen, Zhuo
Grandini, Daniele
Poon, Yat-Sun
COMPLEX MANIFOLDS, 2015, 2 (01): : 34 - 52

← 1 2 3 4 5 →