The affine VW supercategory
DOI10.1007/s00029-020-0541-4zbMath1455.18010arXiv1801.04178OpenAlexW2972575135MaRDI QIDQ2310816
Catharina Stroppel, Gail Letzter, Zajj Daugherty, Martina Balagović, Emily Norton, Iva Halacheva, Mee Seong Im, Johanna Hennig, Inna Entova Aizenbud, Vera V. Serganova
Publication date: 6 April 2020
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.04178
Lie superalgebrasBrauer algebrasSchur-Weyl dualitydiagram algebrasmonoidal supercategorygraded and filtered rings
Superalgebras (17A70) Simple, semisimple, reductive (super)algebras (17B20) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80) Monoidal categories, symmetric monoidal categories (18M05)
Related Items (10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Schur-Weyl duality for the Brauer algebra and the ortho-symplectic Lie superalgebra
- The degenerate affine walled Brauer algebra
- Highest weight categories arising from Khovanov's diagram algebra. IV: The general linear supergroup
- Gradings on walled Brauer algebras and Khovanov's arc algebra
- Monoidal supercategories
- A basis theorem for the affine oriented Brauer category and its cyclotomic quotients
- A new approach to representation theory of symmetric groups
- PBW-deformations and deformations à la Gerstenhaber of \(N\)-Koszul algebras.
- The Brauer category and invariant theory
- Affine walled Brauer algebras and super Schur-Weyl duality
- Schur-Weyl duality for higher levels
- Mean-periodic extensions of functions
- A new interpretation of Gelfand-Tsetlin bases
- Duality between \(\mathfrak{sl}_n(\mathbb C)\) and the degenerate affine Hecke algebra
- Nazarov-Wenzl algebras, coideal subalgebras and categorified skew Howe duality
- Affine periplectic Brauer algebras
- On representations of the Lie superalgebra \(p\)(\(n\))
- Poincaré-Birkhoff-Witt theorem for quadratic algebras of Koszul type
- Young's orthogonal form for Brauer's centralizer algebra
- Affine and degenerate affine BMW algebras: actions on tensor space
- Supersymmetric polynomials and the center of the walled Brauer algebra
- Translation functors and decomposition numbers for the periplectic Lie superalgebra \(\mathfrak{p}(n)\)
- Invariants of the orthosymplectic Lie superalgebra and super Pfaffians
- The periplectic Brauer algebra. II: Decomposition multiplicities
- Affine and degenerate affine BMW algebras: the center
- Poincare-Birkhoff-Witt Theorems
- Affine Hecke Algebras and Their Graded Version
- Deformations of algebras in noncommutative geometry
- The periplectic Brauer algebra
- Tensor Product Representations of the Lie Superalgebra 𝔭(n) and Their Centralizers
- The marked Brauer category
- Cyclotomic Nazarov-Wenzl Algebras
- Lie superalgebras
- Representations of Lie superalgebras
- An analog of the classical invariant theory for Lie superalgebras. I, II
- The center of a simple \(P\)-type Lie superalgebra.
This page was built for publication: The affine VW supercategory