By Michel Brion (auth.), Abraham Broer, A. Daigneault, Gert Sabidussi (eds.)
The 12 lectures provided in Representation Theories and AlgebraicGeometry concentrate on the very wealthy and strong interaction among algebraic geometry and the illustration theories of assorted sleek mathematical constructions, comparable to reductive teams, quantum teams, Hecke algebras, limited Lie algebras, and their partners. This interaction has been broadly exploited in the course of fresh years, leading to nice growth in those illustration theories. Conversely, a very good stimulus has been given to the advance of such geometric theories as D-modules, perverse sheafs and equivariant intersection cohomology.
the variety of themes lined is huge, from equivariant Chow teams, decomposition sessions and Schubert kinds, multiplicity loose activities, convolution algebras, common monomial concept, and canonical bases, to annihilators of quantum Verma modules, modular illustration concept of Lie algebras and combinatorics of illustration different types of Harish-Chandra modules.
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