Journal of Combinatorial Algebra
Full-Text PDF (320 KB) | Metadata | Table of Contents | JCA summary
Published online: 2018-02-08
The periplectic Brauer algebra II: Decomposition multiplicitiesKevin Coulembier and Michael Ehrig (1) University of Sydney, Australia
(2) University of Sydney, Australia
We determine the Jordan–Hölder decomposition multiplicities of projective and cell modules over periplectic Brauer algebras in characteristic zero. These are obtained by developing the combinatorics of certain skew Young diagrams.We also establish a useful relationship with the Kazhdan–Lusztig multiplicities of the periplectic Lie supergroup.
Keywords: Periplectic Lie superalgebra, periplectic Brauer algebra, decomposition multiplicities, (skew) Young diagrams, standardly based algebras
Coulembier Kevin, Ehrig Michael: The periplectic Brauer algebra II: Decomposition multiplicities. J. Comb. Algebra 2 (2018), 19-46. doi: 10.4171/JCA/2-1-2