A Basis Theorem for the Degenerate Affine Oriented Brauer–Clifford Supercategory

DOI10.4153/CJM-2018-030-8zbMath1470.17005arXiv1706.09999OpenAlexW2963297342MaRDI QIDQ5195298

Jonathan Comes, Jonathan R. Kujawa, Jonathan Brundan

Publication date: 18 September 2019

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.09999

zbMATH Keywords

Lie superalgebramonoidal categorysupercategorytype Q

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Monoidal categories, symmetric monoidal categories (18M05)

Related Items (9)

Affine oriented Frobenius Brauer categories ⋮ Slightly Degenerate Categories and ℤ-Modular Data ⋮ Foundations of Frobenius Heisenberg categories ⋮ Webs of type Q ⋮ Heisenberg and Kac-Moody categorification ⋮ Affine walled Brauer-Clifford superalgebras ⋮ Affine Brauer category and parabolic category \(\mathcal{O}\) in types \(B, C, D\) ⋮ Generalized negligible morphisms and their tensor ideals ⋮ Frobenius Heisenberg categorification

Cites Work

• Unnamed Item
• Unnamed Item
• Quantum walled Brauer-Clifford superalgebras
• An odd categorification of \(U_q(\mathfrak{sl}_2)\)
• Supercategorification of quantum Kac-Moody algebras. I, II
• Mixed Schur-Weyl-Sergeev duality for queer Lie superalgebras
• Type A blocks of super category \(\mathcal{O}\)
• Monoidal supercategories
• A basis theorem for the affine oriented Brauer category and its cyclotomic quotients
• Character formulae for queer Lie superalgebras and canonical bases of types \(A/C\)
• Degenerate affine Hecke-Clifford algebras and type \(Q\) Lie superalgebras.
• The centre of enveloping algebra for Lie superalgebra Q(n,\({\mathbb{C}})\)
• Schur-Weyl duality over finite fields.
• Characters of irreducible \(G\)-modules and cohomology of \(G/P\) for the Lie supergroup \(G=Q(N)\)
• Young's symmetrizers for projective representations of the symmetric group
• Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra \(\mathfrak q(n)\)
• Affine walled Brauer-Clifford superalgebras
• On the definition of Heisenberg category
• Modular representations of the supergroup \(Q(n)\). I
• The affine VW supercategory
• A general approach to Heisenberg categorification via wreath product algebras
• Hecke-Clifford superalgebras, crystals of type 𝐴_{2ℓ}⁽²⁾ and modular branching rules for ̂𝑆_{𝑛}
• Reduction method for representations of queer Lie superalgebras
• Quiver Hecke Algebras and 2-Lie Algebras
• THE -CENTRE AND GRADABLE DERIVED EQUIVALENCES
• Super Kac–Moody 2‐categories
• Presenting Queer Schur Superalgebras
• The marked Brauer category
• Projective representations of symmetric groups via Sergeev duality

This page was built for publication: A Basis Theorem for the Degenerate Affine Oriented Brauer–Clifford Supercategory