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 A Non-commutative Version of the Kirillov Character Formula Functional Calculus and Coadjoint Orbits.
Наименование:

A Non-commutative Version of the Kirillov Character Formula Functional Calculus and Coadjoint Orbits.

автор Raed R. издательство Книга по Требованию Математический анализ. Кратные и криволинейные интегралы. Задачи, решения
Cтраниц 96        мягкая обложка       
Аннотация:The Kirillov character formula gives a striking correspondence between the unitary irreducible representations of a compact semisimple Lie group and its set of integral orbits on the dual of its Lie algebra. It is shown to be related to the convexity properties of the support of the Weyl functional calculus of the infinitesimal generators of the representation. In this thesis, the same correspondence is derived without the use of character theory. This result uses Edward Nelson' s theory of "operants" in a fundamental way. This had been developed to put Feynman' s operator calculus on a rigorous basis. In particular, a beautiful explicit formula of Nelson for the Weyl calculus facilitates the extension of the Kirillov formula to the matrix coefficients of the representation, thus giving a "non-commutative" Kirillov-type formula for compact Lie groups.
Автор: Raed R.
Издательство: Книга по Требованию
Год:2009
Цена:
1980 руб
Нет в наличии
Поиск: A Non-commutative Version of the Kirillov Character Formula Functional Calculus and Coadjoint Orbits.
НОВЫЙ ГОД СИМВОЛ 2013 ГОДАУКРАШЕНИЯ
КАРНАВАЛ НА НОВЫЙ ГОД РАСПРОДАЖА
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