Cohomology of the Lie algebra ℌ2: Experimental results and conjectures

被引:0
作者
S. Mohammadzadeh
D. B. Fuchs
机构
[1] City College of San-Francisco,
[2] University of California,undefined
来源
Functional Analysis and Its Applications | 2014年 / 48卷
关键词
cohomology; Lie algebra; Hamiltonian vector field;
D O I
暂无
中图分类号
学科分类号
摘要
The cohomology with trivial coefficients of the Lie algebra ℌ of Hamiltonian vector fields in the plane and of its maximal nilpotent subalgebra L1ℌ is considered. The cohomology H2(L1ℌ) is calculated, and some far-reaching conjectures concerning the cohomology of the Lie algebras mentioned above and based on an extensive experimental material are formulated.
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页码:128 / 137
页数:9
相关论文
共 4 条
  • [1] Gelfand I M(1972)On the cohomology of the Lie algebra of Hamiltonian vector fields Funkts. Anal. Prilozhen. 6 25-29
  • [2] Kalinin D I(1976)Cohomology of Hamiltonian and related formal vector fields Lie algebras Topology 15 395-404
  • [3] Fuchs D B(undefined)undefined undefined undefined undefined-undefined
  • [4] Perchik J(undefined)undefined undefined undefined undefined-undefined