An inversion formula for some Fock spaces

DOI10.1016/j.jpaa.2016.04.011zbMath1378.17036arXiv1512.00577OpenAlexW2184186453MaRDI QIDQ284966

Ngau Lam, Bin Tao Cao

Publication date: 18 May 2016

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.00577

zbMATH Keywords

standard monomial basisBrundan's algorithminversion formula connecting coefficients of the canonical basis and that of the dual canonical basis

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (3)

\(\imath\)Schur duality and Kazhdan-Lusztig basis expanded ⋮ Quantum group of type \(A\) and representations of queer Lie superalgebra ⋮ Type A blocks of super category \(\mathcal{O}\)

Cites Work

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• Kazhdan-Lusztig polynomials and canonical basis
• The Brundan-Kazhdan-Lusztig conjecture for general linear Lie superalgebras
• Tilting Modules for Lie Superalgebras
• An inversion formula for relative kazhdan—lusztig polynomials
• Canonical Bases Arising from Quantized Enveloping Algebras
• Tensor Product Categorifications and the Super Kazhdan–Lusztig Conjecture
• Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤𝔩(𝔪|𝔫)
• Representations of the General Linear Lie Superalgebra in the BGG Category $$\mathcal{O}$$
• Introduction to quantum groups

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