Crystal Bases of q-deformed Kac Modules Over the Quantum Superalgebra Uq(𝔤𝔩(m|n))

DOI10.1093/IMRN/RNS221zbMath1351.17017arXiv1203.5590OpenAlexW2963630400MaRDI QIDQ2878693

Jae-Hoon Kwon

Publication date: 5 September 2014

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

Full work available at URL: https://arxiv.org/abs/1203.5590

zbMATH Keywords

quantum superalgebracrystal basefinite-dimensional \(q\)-deformed Kac module

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (7)

Super \(q\)-Howe duality and web categories ⋮ A crystal embedding into Lusztig data of type \(A\) ⋮ Candidate for the crystal \(B(-\infty)\) for the queer Lie superalgebra ⋮ \(q\)-deformed Clifford algebra and level zero fundamental representations of quantum affine algebras ⋮ Crystal base of the negative half of the quantum superalgebra \(U_q( \mathfrak{gl}(m | n))\) ⋮ Mixed quantum skew Howe duality and link invariants of type \(A\) ⋮ Candidate for the crystal \(B_{(-\infty)}\) for the queer Lie superalgebra

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