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math.RT2016
Multiplicity-free Kronecker products of characters of the symmetric groups
Christine Bessenrodt, Christopher Bowman
We provide a classification of multiplicity-free inner tensor products of irreducible characters of symmetric groups, thus confirming a conjecture of Bessenrodt. Concurrently, we c…
math.RT2016
Simple modules for the partition algebra and monotone convergence of Kronecker coefficients
C. Bowman, M. De Visscher, J. Enyang
We construct bases of the simple modules for partition algebras which are indexed by paths in an alcove geometry. This allows us to give a concrete interpretation (and new proof) o…
math.RT2012★ 1 cited
Decomposition numbers for the cyclotomic Brauer algebras in characteristic zero
C. Bowman, A. G. Cox, M. De Visscher
We study the representation theory of the cyclotomic Brauer algebra via truncation to idempotent subalgebras which are isomorphic to a product of walled and classical Brauer algebr…