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Big algebras yield ring structures

Paper Title:

Big algebras

Published on:

5 November 2023

Primary Category:

Representation Theory

Paper Authors:

Tamás Hausel

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Key Details

Big algebras are maximal commutative subalgebras of Kirillov algebras

They induce ring structures on weight multiplicity spaces

Equivariant intersection cohomology of affine Schubert varieties has ring structure from big algebras

Explicit constructions and examples are provided

AI generated summary

Big algebras yield ring structures

This paper introduces 'big algebras', which are commutative subalgebras of Kirillov algebras. The authors show these algebras can be used to define ring structures on weight multiplicity spaces and equivariant intersection cohomology of affine Schubert varieties.

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