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Expanding 2-reduced Schur functions in terms of Q-functionsAlgebra & Discrete Mathematics
|Speaker: ||Hiro-Fumi Yamada, Okayama University and UC Davis|
|Location: ||693 Kerr|
|Start time: ||Fri, Dec 2 2005, 1:10PM|
A Schur function is an irreducible character of the general
linear group and, in some sense, a generating function of the
irreducible characters of the symmetric group. A Q-function, also
due to I. Schur, is a "spin" counterpart of a Schur function.
My problem is to characterize the coefficients when one expands
"2-reduced" Schur functions by Q-functions. I have not yet reached a
complete answer. Instead I will show some experiments and observations.