Representation theory and the diagonal coinvariant ring of the type B Weyl group

We explain how to use representation theory to give a lower bound on the dimension of the quotient ring by type \(B_n\) diagonal invariants that improves upon the current known lower bound \((2n+1)^n\) by a quadratic polynomial in \(n\).

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Bibliographic Details
Published inarXiv.org
Main Authors Ajila, Carlos, Griffeth, Stephen
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 06.10.2021
Subjects
Lower bounds
Polynomials
Quotients
Rings (mathematics)
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Summary:We explain how to use representation theory to give a lower bound on the dimension of the quotient ring by type \(B_n\) diagonal invariants that improves upon the current known lower bound \((2n+1)^n\) by a quadratic polynomial in \(n\).
ISSN:2331-8422