The Kronecker power of a permutation

Russell Merris · Journal of Research of the National Bureau of Standards Section B Mathematical Sciences · 1976

Let G be a pe rmutati o n group o f degree n.Think of the e le me nt s, a, of C as It-square permutation ma tri ces .Th e paper co nce rn s a redu c tion of the repre se nt ation a -> the rth Kronec ker powe r of a .[n case C is the full sy mm etric permutation group, a formula is give n which invo lves the S tirlin g numbe rs of th e seco nd kind.

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