Titlebook: Quantum Groups and Their Primitive Ideals; Anthony Joseph Book 1995 Springer-Verlag Berlin Heidelberg 1995 Algebra.Kristallbasen.Lie algeb

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Introduction,tions .[G]on a (genuine) affine algebraic group .. It is supposed that if . were to exist it would have the same representations as those of ..This is expressed by requiring .[G] and .[G] to be isomorphic as coalgebras.

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The Global Bases,defined by MATH induces an involution of B(∞). Again the crystal bases .λ), B(∞) can be lifted to global bases of .(λ) and .(.)respectively. This leads to a common basis theorem (6.2.19) which is central to the structure theory of .(.). It also gives the Demazure character formula (6.3.15). In the l

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The Prime Spectrum of ,[,], .. Thus there are universal highest weight modules (analogous to Verma modules) and these admit unique simple quotients (10.1.5). However not all characters on . can give rise to such a module (10.1.3) and Prim . is not exhausted (10.1.7) by their annihilators. On the other hand they satisfy a rema

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0071-1136 comodule. A third principle is to focus attention on the tensor structure of the cat­ egory of (!; modules. This means of course just defining an algebra structure on Rq[G]; but this is to be done in a very specific manner. Concretely the category is required to be braided and this forces (9.4.2) th

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Book 1995A third principle is to focus attention on the tensor structure of the cat­ egory of (!; modules. This means of course just defining an algebra structure on Rq[G]; but this is to be done in a very specific manner. Concretely the category is required to be braided and this forces (9.4.2) the existenc

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Introduction,tions .[G]on a (genuine) affine algebraic group .. It is supposed that if . were to exist it would have the same representations as those of ..This is expressed by requiring .[G] and .[G] to be isomorphic as coalgebras.

Epithelium

978-3-642-78402-6Springer-Verlag Berlin Heidelberg 1995