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

2021/10/06 by Ajila, Carlos, Griffeth, Stephen · 1 citation
#05E10 (Secondary) #16G99 (Primary) #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2110.03077

Abstract

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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