An algorithm for computing the canonical bases of higher-level \(q\)-deformed Fock spaces
From MaRDI portal
Publication:875118
DOI10.1016/j.jalgebra.2006.10.014zbMath1172.17300arXivmath/0609405OpenAlexW2040193449MaRDI QIDQ875118
Publication date: 11 April 2007
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0609405
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Computational methods for problems pertaining to nonassociative rings and algebras (17-08)
Related Items
Cellular structures on Hecke algebras of type \(B\)., Cell structures on the blob algebra, Canonical bases of higher-level \(q\)-deformed Fock spaces., An LLT-type algorithm for computing higher-level canonical bases, Factorization of the canonical bases for higher-level Fock spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the parametrization of the simple modules for Ariki-Koike algebras at roots of unity.
- A conjecture for \(q\)-decomposition matrices of cyclotomic \(v\)-Schur algebras.
- On some geometric aspects of Bruhat orderings. II: The parabolic analogue of Kazhdan-Lusztig polynomials
- Combinatorics of representations of \(U_ q (\widehat{\mathfrak sl}(n))\) at \(q=0\)
- Global crystal bases of quantum groups
- Branching functions of \(A_{n-1}^{(1)}\) and Jantzen-Seitz problem for Ariki-Koike algebras
- Cyclotomic \(q\)-Schur algebras
- The crystal base and Littelmann's refined Demazure character formula
- Parabolic Kazhdan-Lusztig polynomials and Schubert varieties
- Families of characters of cyclotomic Hecke algebras.
- Decomposition of \(q\)-deformed Fock spaces
- An algorithm for the computation of the decomposition matrices for Ariki-Koike algebras.
- The Jantzen sum formula for cyclotomic 𝑞–Schur algebras
