Titlebook: Elements of the Theory of Representations; Aleksandr A. Kirillov Book 1976 Springer-Verlag Berlin Heidelberg 1976 Darstellung.Group repres

勉勵

變形詞

溫室

Analysis on ManifoldsSets with structure locally like Euclidean spaces are called manifolds. This property enables us to introduce local systems of coordinates on manifolds and to employ the apparatus of mathematical analysis. A precise definition of manifold follows.

審問,審訊

cauda-equina

Representations of GroupsWe have already stated . that the term “representation” in the wide sense means a homomorphism of the group . into the group of one-to-one mappings of a certain set . onto itself.,A representation . is called . if . is a linear space and the mappings . are linear operators.

粘土

Decomposition of RepresentationsOne of the principal problems of the theory of representations is the problem of decomposing representations of a group . into the simplest possible components.

alabaster

潛移默化

CharactersBy the character of a finite-dimensional representation T of a group G, we mean the function

異教徒

貪婪性