Character formulae for queer Lie superalgebras and canonical bases of types \(A/C\)

DOI10.1007/S00220-016-2809-2zbMath1406.17014arXiv1512.00116OpenAlexW3104134505MaRDI QIDQ529632

Shun-Jen Cheng, Weiqiang Wang, Jae-Hoon Kwon

Publication date: 19 May 2017

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.00116

zbMATH Keywords

Kazhdan-Lusztig conjecturecategorical canonical basismodules of half-integer weights

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (9)

Supercharacters of queer Lie superalgebras ⋮ Finite-dimensional half-integer weight modules over queer Lie superalgebras ⋮ Candidate for the crystal \(B(-\infty)\) for the queer Lie superalgebra ⋮ Webs of type Q ⋮ Extension quiver for Lie superalgebra \(\mathfrak{q}(3)\) ⋮ Quantum group of type \(A\) and representations of queer Lie superalgebra ⋮ A Basis Theorem for the Degenerate Affine Oriented Brauer–Clifford Supercategory ⋮ Reduction method for representations of queer Lie superalgebras ⋮ Type C blocks of super category \(\mathcal{O}\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite-dimensional half-integer weight modules over queer Lie superalgebras
• Equivalence of blocks for the general linear Lie superalgebra
• Quantum supergroups. IV: The modified form
• Quantum group of type \(A\) and representations of queer Lie superalgebra
• Type A blocks of super category \(\mathcal{O}\)
• The centre of enveloping algebra for Lie superalgebra Q(n,\({\mathbb{C}})\)
• Regular strongly typical blocks of \(\mathcal O^{\mathfrak q}\)
• Characters of typical irreducible finite-dimensional \({\mathfrak q}(n)\)- modules
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• The diamond lemma for ring theory
• Characters of irreducible \(G\)-modules and cohomology of \(G/P\) for the Lie supergroup \(G=Q(N)\)
• Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra \(\mathfrak q(n)\)
• \(q\)-wedge modules for quantized enveloping algebras of classical type
• Remarks on the Schur-Howe-Sergeev duality
• The Brundan-Kazhdan-Lusztig conjecture for general linear Lie superalgebras
• Quiver Hecke superalgebras
• Reduction method for representations of queer Lie superalgebras
• Quantum supergroups II. Canonical basis
• Tilting Modules for Lie Superalgebras
• Canonical Bases Arising from Quantized Enveloping Algebras
• TYPICAL BLOCKS OF THE CATEGORY $\mathcal{O}$ FOR THE QUEER LIE SUPERALGEBRA
• Canonical bases in tensor products.
• Tilting modules and the p-canonical basis
• Kazhdan-Lusztig theory of super type D and quantum symmetric pairs
• Tensor Product Categorifications and the Super Kazhdan–Lusztig Conjecture
• Knot invariants and higher representation theory
• Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤𝔩(𝔪|𝔫)
• A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs
• Canonical bases and higher representation theory
• Introduction to quantum groups

This page was built for publication: Character formulae for queer Lie superalgebras and canonical bases of types \(A/C\)