Ribbon tiling and character formula for periplectic Lie superalgebras

2021/01/14 by Hwang, Byung-Hak, Kwon, Jae-Hoon
#05E10 #17B10 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2101.05642

Abstract

We give a combinatorial formula for the character of a finite-dimensional irreducible representation of the periplectic Lie superalgebra \mathfrakp(n). The character of irreducible module L(μ) is given by a cancellation-free alternating sum over the characters of thick or thin Kac modules, Δ(λ) or ∇(λ), such that there exists a ribbon tiling of a skew Young diagram λ/μ.

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