197 research outputs found
Tensorial square of the Hyperoctahedral group Coinvariant Space
The purpose of this paper is to give an explicit description of the trivial
and alternating components of the irreducible representation decomposition of
the bigraded module obtained as the tensor square of the coinvariant space for
hyperoctahedral groups.Comment: 27 page
Some combinatorial identities related to commuting varieties and Hilbert schemes
In this article we explore some of the combinatorial consequences of recent results relating the isospectral commuting variety and the Hilbert scheme of points in the plane
Infinitesimal change of stable basis
The purpose of this note is to study the Maulik–Okounkov K-theoretic stable basis for the Hilbert scheme of points on the plane, which depends on a “slope” m∈ R. When m=ab is rational, we study the change of stable matrix from slope m- ε to m+ ε for small ε> 0 , and conjecture that it is related to the Leclerc–Thibon conjugation in the q-Fock space for Uqgl^ b. This is part of a wide framework of connections involving derived categories of quantized Hilbert schemes, modules for rational Cherednik algebras and Hecke algebras at roots of unity
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