The quantum general linear supergroup, canonical bases and Kazhdan-Lusztig polynomials
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Publication:1042925
DOI10.1007/s11425-008-0150-8zbMath1229.17022OpenAlexW2088474563MaRDI QIDQ1042925
Publication date: 7 December 2009
Published in: Science in China. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-008-0150-8
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Quantum groups (quantized function algebras) and their representations (20G42)
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Cites Work
- Dual canonical bases for the quantum general linear supergroup
- Dual canonical bases and Kazhdan-Lusztig polynomials
- Representations of Coxeter groups and Hecke algebras
- Duality in parabolic set up for questions in Kazhdan-Lusztig theory
- On crystal bases of the \(q\)-analogue of universal enveloping algebras
- Universal \(R\)-matrix for quantized (super)algebras
- Global crystal bases of quantum groups
- Kazhdan-Lusztig polynomials and canonical basis
- Structure and representations of the quantum general linear supergroup
- Dual canonical bases for the quantum special linear group and invariant subalgebras
- Canonical Bases Arising from Quantized Enveloping Algebras
- Finite dimensional irreducible representations of the quantum supergroup Uq (gl(m/n))
- Crystal bases for the quantum superalgebra $U_q(\mathfrak {gl}(m,n))$
