Kazhdan-Lusztig theory of super type D and quantum symmetric pairs

DOI10.1090/ert/505zbMath1411.17015arXiv1603.05105OpenAlexW2964175796MaRDI QIDQ4588790

Huanchen Bao

Publication date: 2 November 2017

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

Full work available at URL: https://arxiv.org/abs/1603.05105

zbMATH Keywords

canonical basesKazhdan-Lusztig theoryorthosymplectic Lie superalgebrasirreducible character problem

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Related Items (27)

Categorification of quantum symmetric pairs. I ⋮ A basis theorem for the affine Kauffman category and its cyclotomic quotients ⋮ Multiparameter quantum Schur duality of type B ⋮ Canonical bases arising from quantum symmetric pairs ⋮ Branching rules for finite-dimensional \(\mathcal {U}_{q}(\mathfrak {su}(3))\)-representations with respect to a right coideal subalgebra ⋮ Representations of Brauer category and categorification ⋮ \(Q\)-Schur algebras corresponding to Hecke algebras of type \textsf{B} ⋮ \(\imath\)Schur duality and Kazhdan-Lusztig basis expanded ⋮ Cells in modified \(\imath\)quantum groups of type AIII and related Schur algebras ⋮ Quantum symmetric pairs ⋮ Whittaker categories of quasi-reductive lie superalgebras and quantum symmetric pairs ⋮ Whittaker categories, properly stratified categories and Fock space categorification for Lie superalgebras ⋮ Affine flag varieties and quantum symmetric pairs ⋮ Polynomial functors and two-parameter quantum symmetric pairs ⋮ Characters for projective modules in the BGG category \(\mathcal{O}\) for the orthosymplectic Lie superalgebra \(\mathfrak{osp}(3 | 4)\) ⋮ Blocks and characters of \(G(3)\)-modules of non-integral weights ⋮ Canonical bases for tensor products and super Kazhdan-Lusztig theory ⋮ Whittaker modules for classical Lie superalgebras ⋮ Character formulae for queer Lie superalgebras and canonical bases of types \(A/C\) ⋮ Projective modules over classical Lie algebras of infinite rank in the parabolic category ⋮ Canonical bases arising from quantum symmetric pairs of Kac–Moody type ⋮ Multiplication formulas and isomorphism theorem of \({\imath}\)Schur superalgebras ⋮ Character formulae in category \(\mathcal{O}\) for exceptional Lie superalgebras \(D(2|1; \zeta)\) ⋮ Blocks and characters of \(D(2|1; \zeta)\)-modules of non-integral weights ⋮ Representations of weakly triangular categories ⋮ Character formulas in category \(\mathcal{O}\) for exceptional Lie superalgebra \(G(3)\) ⋮ THE -SCHUR ALGEBRAS AND -SCHUR DUALITIES OF FINITE TYPE

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