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Paper   IPM / M / 702
School of Mathematics
  Title:   A note on Cayley-Hamilton theorem for generalized matrix function
1.  M. R. Darafsheh
2.  K. Mallahi
3.  M. R. Pournaki
  Status:   Published
  Journal: Pure Math. Appl.
  No.:  4
  Vol.:  11
  Year:  2000
  Pages:   553-557
  Publisher(s):   SAAS
  Supported by:  IPM
Let $n be the symmetric group on n letters and G be a subgroup of $n. Suppose χ is an irreducible complex character of G and dχG is the generalized matrix function afforded by G and χ. In this paper we characterize for which G and χ, the Cayley-Hamilton Theorem holds.

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