The periplectic Brauer algebra. II: Decomposition multiplicities

DOI10.4171/JCA/2-1-2zbMath1417.17009arXiv1701.04606MaRDI QIDQ2413204

Kevin Coulembier, Michael Ehrig

Publication date: 9 April 2018

Published in: Journal of Combinatorial Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.04606

zbMATH Keywords

standardly based algebrasdecomposition multiplicitiesperiplectic Brauer algebraperiplectic Lie superalgebra(skew) Young diagrams

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (10)

Tensor ideals, Deligne categories and invariant theory ⋮ Irreducible calibrated representations of periplectic Brauer algebras and hook representations of the symmetric group ⋮ Highest weight modules over the quantum periplectic superalgebra of type \(P\) ⋮ Affine periplectic Brauer algebras ⋮ The periplectic Brauer algebra. III: The Deligne category ⋮ Quantized enveloping superalgebra of type \(P\) ⋮ The affine VW supercategory ⋮ Deligne categories and the periplectic Lie superalgebra ⋮ The blocks of the periplectic Brauer algebra in positive characteristic ⋮ The representation theory of Brauer categories. I: triangular categories

Cites Work

• Diagrammatic Kazhdan-Lusztig theory for the (walled) Brauer algebra.
• Translation functors and decomposition numbers for the periplectic Lie superalgebra \(\mathfrak{p}(n)\)
• Based algebras and standard bases for quasi-hereditary algebras
• The periplectic Brauer algebra
• Tensor Product Representations of the Lie Superalgebra 𝔭(n) and Their Centralizers
• The marked Brauer category
• The decomposition matrices of the Brauer algebra over the complex field

This page was built for publication: The periplectic Brauer algebra. II: Decomposition multiplicities