Unitary representations of type B rational Cherednik algebras and crystal combinatorics
DOI10.4153/S0008414X21000559OpenAlexW3203610174MaRDI QIDQ5879628
Publication date: 2 March 2023
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.05464
unitary representationFock spacecombinatorial representation theoryrational Cherednik algebraaffine Lie algebra crystal
Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Deformations of associative rings (16S80) Representation theory of associative rings and algebras (16G99)
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Cites Work
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- Completely splittable representations of symmetric groups and affine Hecke algebras.
- Representation theory of algebraic groups and quantum groups. Based on the 6th international conference by the Graduate School of Mathematics on representation theory of algebraic groups and quantum groups, Nagoya, Japan, June 12--17, 2006
- Combinatorics of representations of \(U_ q (\widehat{\mathfrak sl}(n))\) at \(q=0\)
- On the category \(\mathcal O\) for rational Cherednik algebras.
- Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
- The \(\mathfrak{sl}_\infty\)-crystal combinatorics of higher level Fock spaces
- Unitary representations of cyclotomic rational Cherednik algebras
- Triple crystal action in Fock spaces
- On BGG resolutions of unitary modules for quiver Hecke and Cherednik algebras
- The modular Weyl-Kac character formula
- Supports of simple modules in cyclotomic Cherednik categories \(\mathcal{O}\)
- Parabolic induction and restriction functors for rational Cherednik algebras.
- The Dunkl weight function for rational Cherednik algebras
- Supports of representations of the rational Cherednik algebra of type A
- Parabolic degeneration of rational Cherednik algebras
- Derived equivalences for symmetric groups and \(\mathfrak{sl}_2\)-categorification.
- A combinatorial decomposition of higher level Fock spaces
- Jack polynomials as fractional quantum Hall states and the Betti numbers of the \((k+1)\)-equals ideal
- Heisenberg algebra, wedges and crystals
- Unitary representations of the Cherednik algebra: \(V^*\)-homology
- Rational Cherednik algebras and categorification
- Orthogonal functions generalizing Jack polynomials
- MODULAR DECOMPOSITION NUMBERS OF CYCLOTOMIC HECKE AND DIAGRAMMATIC CHEREDNIK ALGEBRAS: A PATH THEORETIC APPROACH
- On Some Finite Dimensional Representations of Symplectic Reflection Algebras Associated to Wreath Products
- Unitary representations of rational Cherednik algebras
- Heisenberg algebras and rational double affine Hecke algebras
- Crystals of Fock spaces and cyclotomic rational double affine Hecke algebras
- Path isomorphisms between quiver Hecke and diagrammatic Bott-Samelson endomorphism algebras
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