Involutions in Coxeter groups
George Lusztig, David Vogan
TL;DR
This paper introduces a new representation of the Hecke algebra acting on a vector space generated by the involutions within a Coxeter group, providing insights into the algebraic structure of these groups.
Contribution
It constructs a novel representation of the Hecke algebra specifically on involutions in Coxeter groups, advancing understanding of their algebraic properties.
Findings
Representation of Hecke algebra on involutions constructed
Provides new algebraic insights into Coxeter groups
Lays groundwork for further algebraic and combinatorial studies
Abstract
This paper constructs a representation of a Hecke algebra on a vector space spanned by the involutions in a Coxeter group.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Combinatorial Mathematics · Advanced Algebra and Geometry