Global crystal bases for integrable modules over a quantum symmetric pair of type AIII

DOI10.1090/ert/556zbMath1476.17009arXiv1809.08577OpenAlexW3118556101MaRDI QIDQ5150239

Hideya Watanabe

Publication date: 10 February 2021

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.08577

zbMATH Keywords

Hecke algebracrystal basisintegrable moduleirreducible modulecompletely reducible modulequantized universal enveloping algebraKazhdan-Lusztig basiscoideal subalgebracanonical basisquantum symmetric pairleft cell representation

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)

Related Items (4)

Based modules over the \(\imath\) quantum group of type AI ⋮ Invariant theory of \(\imath\,\)quantum groups of type AIII ⋮ Quantum symmetric pairs ⋮ Finite Young wall model for representations of \(\imath\,\)quantum group \(\mathbf{U}^{\jmath}\)

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