SOME DECOMPOSITION NUMBERS OF q-SCHUR ALGEBRAS

نویسنده

  • KAI MENG TAN
چکیده

Let F be a field of arbitrary characteristic l, and let q ∈ F ∗. Let e be the least integer such that 1+ q+ · · ·+ q = 0. Let κ be an ecore partition such that it has an e-abacus display in which the number of beads on each runner is nondecreasing as we go from left to right. We study the decomposition numbers dlλμ of q-Schur algebras where μ is a partition having e-core κ and ‘locally small’ e-quotients. We provide a closed formula for d0λμ and show that d 0 λμ = d l λμ if l is greater than the size of each constituent of the e-quotient of μ.

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تاریخ انتشار 2005