A. Knapp. Lie Groups, Lie algebras, and cohomology. Lecture notes in mathematics. Princeton University Press, 1988.Knapp, A. (1988) Lie group, Lie algebras, and cohomology. Princeton University Press, Princeton, New JerseyKnapp, A.W.: Lie groups, Lie algebras and cohomology. Mathematical ...
This book starts with the elementary theory of Lie groups of matrices and arrives at the definition, elementary properties, and first applications of cohomological induction, which is a recently discovered algebraic construction of group representations. Along the way it develops the computational techniq...
W. Y. Hsiang, Cohomology Theory of Topological Transformation Groups, Springer-Verlag, New York (1975). Google Scholar M. S. Taufik, “On maximal subalgebras in classical real Lie algebras,” in: Questions of Group Theory and Homological Algebra [in Russian], No. 2, Yaroslavl State Univ....
˜𝑃(2) and the weight space decompositions are given. Secondly, the weight-derivations of ˜𝑃(2) to its Kac modules are computed. Finally, the first cohomology of ˜𝑃(2) with coefficients in Kac modules is determined. Keywords: Cohomology derivation Kac modules Lie ...
The fundamental theory of Lie groups and Lie algebras on robotics is expatiated in brief. 对李群李代数方法在机器人中的应用做了基本的阐述,澄清了一些基本概念。5) cohomology of Lie algebra 李代数的上同调群6) Lie algebra of an algebraic group 代数群的李代数补充...
N. R. Wallach, Lie algebra cohomology and holomorphic continuation of gen- eralized Jacquet integrals, Advanced studies in Pure Mathematics, 14 (1988), pp. 126-151Lie algebra cohomology and holomorphic continuation of generalized Jacquet integrals”, Representations of Lie groups - WALLACH - 1986 ...
M. Schlessinger and J. Stasheff, The Lie algebra structure of tangent cohomology and deformation theory , J. Pure Appl. Algebra 38 (1985), no. 2-3, 313–322.M. Schlessinger, J. Stasheff, The Lie algebra structure of tangent cohomology and deforma- tion theory, J. Pure Appl. Algebra ...
and augmentation ǫ : A → k. We assume A is locally finite, that is each A n ON THE COHOMOLOGY OF THE LIE ALGEBRA ARISING FROM THE LOWER CENTRAL SERIES OF A p-GROUP. 3 is finite dimensional over k. We also assume A is connected, i.e. A 0 = k. Let I = I(A) = ke...
Lie Groups, Lie Algebras, Cohomology and some Applications in Physics This book provides an introduction to the cohomology theory of Lie groups and Lie algebras and to some of its applications in physics. The mathematical top... Cambridge University Press - Cambridge University Press 被引量: 296...
6) cohomology of Lie algebra 李代数的上同调群 补充资料:代数群 代数群 algebraic group 代数群工吨。b面。gn扣p;a汀“6pa明“‘Ka,‘’py皿al 具有代数簇(al罗braie variety)结构的群G,其中乘法“:G XG,G以及反演映射,:G~G都是代数簇的正则映射‘夸射(morPh‘m比当一个代数群的基础代数簇以及态射...