Titlebook: Introduction to Superanalysis; Felix Alexandrovich Berezin,A. A. Kirillov Book 1987 Springer Science+Business Media Dordrecht 1987 Algebra

演绎

sleep-spindles

Lie SuperalgebrasThis part is devoted to the generalization of the Laplace-Casimir operator theory to Lie supergroups. In what follows they are called .. The main result is the formula for the radial parts of the Laplace operators under some general assumptions about Lie supergroup. These assumptions are valid in particular for the Lie supergroups .(.) and .(.).

Infusion

Laplace-Casimir Operators (General Theory)Let {..} be a homogeneous basis of a Lie superalgebra ., .(..) = 0 for 1 ≤ . ≤ . and .(.) . 1 for . + 1 . + .. The enveloping algebra of . is the associative algebra . (.)with generators .. and the relations

Patrimony

The Radial Parts of the Laplace Operators on the Lie Supergroups , and ,Let us denote by .., the invariant polynomial on the Lie algebra .(.|.)

向下

978-90-481-8392-0Springer Science+Business Media Dordrecht 1987

Pessary

Overview: 978-90-481-8392-0978-94-017-1963-6

Deceit

Mathematical Physics and Applied Mathematicshttp://image.papertrans.cn/i/image/474241.jpg

Emmenagogue

Construction of Representations of Lie Supergroups ,(,) and ,(,)a lexicographic ordering. Let us expand G. into the direct sum G. = G. ⊕ G. where G. consists of all the linear combinations of the root vectors corresponding to positive odd roots and G. consists of the ones corresponding to the negative odd roots.

勾引

https://doi.org/10.1007/978-94-017-1963-6Algebra; dynamics; linear algebra; mechanics; operator

嫌恶

Supermanifolds in Generalproposed by A. Grothendieck to develop a unified approach to different geometric theories: theory of smooth manifolds, algebraic and analytic geometries, etc. There is a category of ringed spaces corresponding to each of these theories and the theory of supermanifolds fits into the scheme with only