Titlebook: Lie Groups, Geometry, and Representation Theory; A Tribute to the Lif Victor G. Kac,Vladimir L. Popov Book 2018 Springer Nature Switzerland

cajole

Limpid

calumniate

變色龍

On Dimension Growth of Modular Irreducible Representations of Semisimple Lie Algebras,cisely, it is known that for . ? 0, the irreducibles with a regular rational central character λ and .-character χ are indexed by a certain canonical basis in the . of the Springer fiber of χ. This basis is independent of .. For a basis element, the dimension of the corresponding module is a polynom

nonchalance

詼諧

vascular

打包

Antioxidant

Alcoved Polytopes II,nd also compatible definitions of hypersimplices, descent numbers and major index for all Weyl groups. We give a .-analogue of Weyl’s formula for the order of the Weyl group. For ., . and ., we give a Gr?obner basis which induces the triangulation of alcoved polytopes.

寬度

Representation Theory of Quantized Gieseker Varieties, I,l parameters and categories . for special values of parameters. We find the values of parameters, where the quantizations have finite homological dimension, and we establish the abelian localization theorem.We classify two-sided ideals. Finally, we determine the annihilators of the irreducible objec