S. Donkin's The q-Schur Algebra (London Mathematical Society Lecture PDF

By S. Donkin

This e-book makes a speciality of the illustration conception of q-Schur algebras and connections with the illustration idea of Hecke algebras and quantum basic linear teams. the purpose is to provide, from a unified standpoint, quantum analogues of convinced effects recognized already within the classical case. The strategy is essentially homological, according to Kempf's vanishing theorem for quantum teams and the quasi-hereditary constitution of the q-Schur algebras. starting with an introductory bankruptcy facing the connection among the standard basic linear teams and their quantum analogies, the textual content is going directly to talk about the Schur Functor and the 0-Schur algebra. the following bankruptcy considers Steinberg's tensor product and infinitesimal conception. Later sections of the publication talk about tilting modules; the Ringel twin of the q-Schur algebra; Specht modules for Hecke algebras; and the worldwide size of the q-Schur algebras. An appendix provides a self-contained account of the idea of quasi-hereditary algebras and their linked tilting modules. This quantity could be essentially of curiosity to researchers in algebra and similar subject matters in natural mathematics.

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The q-Schur Algebra (London Mathematical Society Lecture Note Series) by S. Donkin

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