New versions of Schur-Weyl duality
Stephen Doty
TL;DR
This paper explores extensions of Schur-Weyl duality to new contexts involving Brauer algebras and classical groups, expanding the theoretical framework of duality in algebra.
Contribution
It introduces new versions of Schur-Weyl duality applicable to Brauer algebras and classical groups, broadening the scope of the classical theory.
Findings
Identifies new dualities involving Brauer algebras.
Establishes connections between classical groups and algebraic structures.
Provides a unified framework for various dualities.
Abstract
After reviewing classical Schur-Weyl duality, we present some other contexts which enjoy similar features, relating to Brauer algebras and classical groups.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Advanced Topics in Algebra