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  • CENTRES OF SYMMETRIC CELLULAR ALGEBRAS

  • Part of
  • YANBO LI
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 82 / Issue 3 / December 2010
    Published online by Cambridge University Press:
    14 September 2010, pp. 511-522
    Print publication:
    December 2010
    • Article
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  • Let R be an integral domain and A a symmetric cellular algebra over R with a cellular basis {CλS,T∣λ∈Λ,S,T∈M(λ)}. We construct an ideal L(A) of the centre of A and prove that L(A) contains the so-called Higman ideal. When R is a field, we prove that the dimension of L(A) is not less than the number of nonisomorphic simple A-modules.