although they are fundamental for the development of the cohomology theory of Lie algebras; namely, we shall not give a proof for the Birkhoff-Witt Theorem (Theorem 1.2) nor of Theorem 5.2 which says that the bilinear form of certain representations of semisimple Lie algebras is non-degenerate....
R. Kurdiani, Cohomology of Lie Algebras in the Tensor Category of Linear Maps, Comm. Algebra 27 (1999), no. 10, 5033-5048.Kurdiani, R. (1999) Cohomology of Lie algebras in the tensor category of linear maps. Comm. Alg. 27: pp. 5033-5048...
3) cohomology of semi-simple Lie algebras 半单李代数的上同调4) cohomology algebra 上同调代数5) Lie superalgebra 李超代数 1. The minimal ideal of a class Z-graded Lie superalgebras; 一类Z-阶化李超代数的极小理想 2. Modular Lie superalgebra (n,m); 模李超代数 (n,m) 3. The Wei...
Working with Lie algebras is help- ful because many of the algebraic Steenrod operations vanish there, in particular P 0 [14]. In Section 4.2, we explore central extensions of p-groups H → G → Q, where H ≃ Z/(p). Using Theorem 3.3, we show that VLG is semi-Koszul if Q is...
Silvestrov, Structure and Cohomology of 3-Lie Algebras In- duced by Lie Algebras, in Algebra, Geometry and Mathematical Physics (Springer Pro- ceedings in Mathematics & Statistics, 2014).Arnlind J., Kitouni A., Makhlouf A., Silvestrov S., Structure and Cohomology of 3- Lie algebras ...
(共143册),这套丛书还有 《Entropy of Hidden Markov Processes and Connections to Dynamical Systems》《Geometry and Cohomology in Group Theory》《An Introduction to Noncommutative Differential Geometry and Its Physical Applications》《Classification Problems in Ergodic Theory》《Lie Groups and Compact Groups...
Note on the cohomology of color Hopf and Lie algebrasNote on the cohomology of color Hopf and Lie algebrasLet A be a ( G , 蠂 )-Hopf algebra with bijective antipode and let M be a G-graded A-bimodule. We prove that there exists an isomorphism HH gr ( A , M ) Ext A -gr ( ...
Triple cohomology of Lie-Rinehart algebras and the canonical class of associative algebras. J. Algebra, 291(1):144-163, 2005.J. M. Casas, M. Ladra, and T. Pirashvili, Triple cohomology of Lie-Rinehart algebras and the canonical class of associative algebras, J. Algebra 291 (2005), no....
摘要: A new duality theorem for the cohomology of free Lie algebras over a ring is proven. Bibliography: 2 references.关键词:Bibliography: cohomology algebras theorem duality DOI: 10.1070/sm1970v012n04abeh000942 被引量: 11 年份: 1970
The correspondence between Lie algebras, Lie groups, and algebraic groups, on one side and commutative Hopf algebras on the other side are known for a long time by works of Hochschild-Mostow and others. We extend this correspondence by associating a noncommutative noncocommutative Hopf algebra to ...