Jack polynomials as fractional quantum Hall states and the Betti numbers of the \((k+1)\)-equals ideal

DOI10.1007/s00220-014-2010-4zbMath1294.81387arXiv1303.4126OpenAlexW3103126633MaRDI QIDQ2509628

Steven V. Sam, Stephen Griffeth, Christine Berkesch Zamaere

Publication date: 29 July 2014

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4126

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Many-body theory; quantum Hall effect (81V70) Operator algebra methods applied to problems in quantum theory (81R15) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items (22)

Unitary representations of type B rational Cherednik algebras and crystal combinatorics ⋮ A note on the reducedness and Gröbner bases of Specht ideals ⋮ Finite group characters on free resolutions ⋮ Unitary representations of cyclotomic rational Cherednik algebras ⋮ Unitary representations of the Cherednik algebra: \(V^*\)-homology ⋮ Parabolic degeneration of rational Cherednik algebras ⋮ Elementary construction of the minimal free resolution of the Specht ideal of shape \((n -d,d)\) ⋮ Gröbner Bases of Radical Li–Li Type Ideals Associated with Partitions ⋮ Setting the scene for Betti characters ⋮ Elementary construction of minimal free resolutions of the Specht ideals of shapes (n − 2,2) and (d,d,1) ⋮ UNITARY REPRESENTATIONS OF CYCLOTOMIC HECKE ALGEBRAS AT ROOTS OF UNITY: COMBINATORIAL CLASSIFICATION AND BGG RESOLUTIONS ⋮ MFO-RIMS tandem workshop: Symmetries on polynomial ideals and varieties. Abstracts from the MFO-RIMS tandem workshop held September 5--11, 2021 (hybrid meeting) ⋮ Representations of rational Cherednik algebras of \(G(m,r,n)\) in positive characteristic. ⋮ Jack polynomials with prescribed symmetry and some of their clustering properties ⋮ On BGG resolutions of unitary modules for quiver Hecke and Cherednik algebras ⋮ Character formulas and Bernstein–Gelfand–Gelfand resolutions for Cherednik algebra modules ⋮ Factorizations of symmetric Macdonald polynomials ⋮ The modular Weyl-Kac character formula ⋮ Representations of rational Cherednik algebras with minimal support and torus knots. ⋮ PRINCIPAL RADICAL SYSTEMS, LEFSCHETZ PROPERTIES, AND PERFECTION OF SPECHT IDEALS OF TWO-ROWED PARTITIONS ⋮ \(\mathbb{Z}_k^{(r)}\)-algebras, FQH ground states, and invariants of binary forms ⋮ Quantum Hall ground states and regular graphs

Uses Software

• Macaulay2
• BoijSoederberg

Cites Work

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