Crystal isomorphisms and wall crossing maps for rational Cherednik algebras
From MaRDI portal
Publication:1742055
DOI10.1007/s00031-016-9402-9zbMath1384.16027arXiv1603.02220OpenAlexW2296718859MaRDI QIDQ1742055
Cédric Lecouvey, Nicolas Jacon
Publication date: 11 April 2018
Published in: Transformation Groups (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.02220
Hecke algebras and their representations (20C08) Connections of Hopf algebras with combinatorics (16T30)
Related Items (8)
Cores of Ariki-Koike algebras ⋮ On modular Harish-Chandra series of finite unitary groups ⋮ Supports of simple modules in cyclotomic Cherednik categories \(\mathcal{O}\) ⋮ Towards a classification of finite-dimensional representations of rational Cherednik algebras of type D ⋮ Triple crystal action in Fock spaces ⋮ Kleshchev multipartitions and extended Young diagrams ⋮ The algebra \(U_q(\widehat{sl}_\infty)\) and applications ⋮ Generalized Mullineux involution and perverse equivalences
Cites Work
- Unnamed Item
- Generalised canonical basic sets for Ariki-Koike algebras
- Representations of Hecke algebras at roots of unity.
- Combinatorics of representations of \(U_ q (\widehat{\mathfrak sl}(n))\) at \(q=0\)
- Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
- Triple crystal action in Fock spaces
- On category \(\mathcal O\) for cyclotomic rational Cherednik algebras.
- Supports of simple modules in cyclotomic Cherednik categories \(\mathcal{O}\)
- A combinatorial decomposition of higher level Fock spaces
- Rational Cherednik algebras and categorification
- Crystals of Fock spaces and cyclotomic rational double affine Hecke algebras
- Crystal isomorphisms for irreducible highest weight \(\mathcal{U}_{v}(\widehat{\mathfrak{sl}}_{e})\)-modules of higher level
This page was built for publication: Crystal isomorphisms and wall crossing maps for rational Cherednik algebras
