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.
Cite this article
Kevin Coulembier, Michael Ehrig, The periplectic Brauer algebra II: Decomposition multiplicities. J. Comb. Algebra 2 (2018), no. 1, pp. 19–46DOI 10.4171/JCA/2-1-2