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math.COMay 16, 2020
3
citations (OpenAlex)
authors
  • François Bergeron
arXiv abstractPDF
paper

The Bosonic-Fermionic Diagonal Coinvariant Modules Conjecture

arXiv:2005.00924

Abstract

We describe a general conjecture on how one may derive from the generic bosonic case all structural properties of multivariate diagonal coinvariant modules in k sets of n commuting variables (bosons), and j sets of n anticommuting variables (fermions).

arXiv comment9 pages

References in corpus (10)

  • A module for the Delta conjecture
  • Science Fiction and Macdonald's Polynomials
  • Higher Trivariate Diagonal Harmonics via generalized Tamari Posets
  • Proof of Stembridge's conjecture on stability of Kronecker coefficients
  • Multivariate Diagonal Coinvariant Spaces for Complex Reflection Groups
  • Lefschetz theory for exterior algebras and fermionic diagonal coinvariants
  • Theta operators, refined Delta conjectures, and coinvariants
  • Some implications of a conjecture of Zabrocki to the action of Sn​ on polynomial differential forms
  • (GLk​×Sn​)-Modules of Multivariate Diagonal Harmonics
  • Alternating super-polynomials and super-coinvariants of finite reflection groups

Cited by in corpus (2)

  • The Hilbert series of the superspace coinvariant ring
  • Set partitions, fermions, and skein relations
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