Super Duality and Crystal Bases for Quantum Ortho-Symplectic Superalgebras

DOI10.1093/imrn/rnv076zbMath1356.17014arXiv1301.1756OpenAlexW3099935648MaRDI QIDQ3460346

Jae-Hoon Kwon

Publication date: 7 January 2016

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.1756

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (13)

A categorification of \(\mathfrak q(2)\)-crystals ⋮ Super duality and crystal bases for quantum ortho-symplectic superalgebras. II ⋮ Lusztig data of Kashiwara-Nakashima tableaux in types \(B\) and \(C\) ⋮ On the Harish-Chandra homomorphism for quantum superalgebras ⋮ Combinatorial extension of stable branching rules for classical groups ⋮ Crystal base of the negative half of the quantum superalgebra \(U_q( \mathfrak{gl}(m | n))\) ⋮ Flagged Littlewood-Richardson tableaux and branching rule for orthogonal groups ⋮ Combinatorial Characterization of Queer Supercrystals (Survey) ⋮ Flagged Littlewood-Richardson tableaux and branching rule for classical groups ⋮ Combinatorial Howe duality of symplectic type ⋮ Combinatorial Howe duality of symplectic type ⋮ Characterization of queer supercrystals ⋮ Queer supercrystals in \textsc{SageMath}

This page was built for publication: Super Duality and Crystal Bases for Quantum Ortho-Symplectic Superalgebras