Titlebook: Studies in Memory of Issai Schur; Anthony Joseph,Anna Melnikov,Rudolf Rentschler Book 2003 Springer Science+Business Media New York 2003 C

Encephalitis

DOSE

马赛克

欲望小妹

Twisted Verma Modules, in a sense modules between a Verma module and its dual. We prove that the three different approaches lead to the same modules. Moreover, we demonstrate that they possess natural Jantzen type filtrations with corresponding sum formulae.

Devastate

Representations of Hecke Algebras and Characters of Symmetric Groups,ue of Brauer’s orthogonality relations. As an application of the assignment of characters we show that the determinant of the Cartan matrix divides a power of . A precise formula for this determinant has recently been obtained by Brundan and Kleshchev. They show in particular that this is a power of ., verifying a conjecture of A. Mathas.

Myocyte

A Pieri-Chevalley Type Formula for , and Standard Monomial Theory,i.e., we provide explicit filtrations) of this formula. In fact, it turns out that to have a standard monomial theory, is nearly equivalent (see §6) to have an effective version of the Pieri—Chevalley type formula, and the combinatorial version is equivalent to have SMT character formula.

智力高

On the Endomorphism Algebra of the Steinberg Module,((Z)) acts. It is shown that . is Г-equivariantly isomorphic with the algebra of regular functions on the space of all.-valued rational one-forms Ω over Spec .((Z)) satisfying the following conditions:

Occlusion

Quivers, Desingularizations and Canonical Bases, these constructions relate to bases of quantized enveloping algebras. Using Ginzburg’s theory of convolution algebras, the base change coefficients of Lusztig’s canonical basis are expressed as decomposition numbers of certain convolution algebras.

高贵领导

0743-1643 athematics and in remembrance of mathematicians Representation Theory alone was so great that a significant number of Researchers (TMR) Network, in the European Community Training and Mobility Orbits, Crystals and Representation Theory, in operation during the period (1997-2002) have been occupied w

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