Harmonic differential forms for pseudo-reflection groups. I: Semi-invariants

DOI10.1016/j.jcta.2021.105474OpenAlexW3157729031MaRDI QIDQ2037183

Joshua P. Swanson, Nolan R. Wallach

Publication date: 30 June 2021

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.06076

zbMATH Keywords

invariant theorysemi-invariantscoinvariant algebrasharmonicspseudo-reflection groups

Mathematics Subject Classification ID

Representation theory of groups (20Cxx) Other groups of matrices (20Hxx)

Related Items

A combinatorial basis for the fermionic diagonal coinvariant ring, Set superpartitions and superspace duality modules, A proof of the fermionic theta coinvariant conjecture, Quasisymmetric harmonics of the exterior algebra, Tanisaki witness relations for harmonic differential forms, Set Partitions, Fermions, and Skein Relations, Harmonic differential forms for pseudo-reflection groups II. Bi-degree bounds

Cites Work

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• A combinatorial model for the decomposition of multivariate polynomial rings as \(S_n\)-modules
• Unitary reflection groups and cohomology
• On certain graded \(S_ n\)-modules and the \(q\)-Kostka polynomials
• Matrices connected with groups generated by mappings
• Schur indices and splitting fields of the unitary reflection groups
• The realization of polynomial algebras as cohomology rings
• Relative invariants of finite groups generated by pseudoreflections
• Conjectures on the quotient ring by diagonal invariants
• Vanishing theorems and character formulas for the Hilbert scheme of points in the plane
• On the existence of tableaux with given modular major index
• Ordered set partitions, generalized coinvariant algebras, and the delta conjecture
• Semi-invariants of finite reflection groups
• A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion
• Generalized exponents and forms
• Introduction to complex reflection groups and their braid groups.
• Schedules and the Delta Conjecture
• Invariants of Finite Reflection Groups
• Invariants of finite groups and their applications to combinatorics
• The Delta Conjecture
• Vandermondes in superspace
• Invariant derivations and differential forms for reflection groups
• Invariants of Finite Reflection Groups
• Finite Unitary Reflection Groups
• Invariants of Finite Groups Generated by Reflections
• Reflection groups and invariant theory