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- W2164868467 abstract "We compute generating functions for the sum of the real-valued character degrees of the finite general linear and unitary groups, through symmetric function computations. For the finite general linear group, we get a new combinatorial proof that every real-valued character has Frobenius---Schur indicator 1, and we obtain some q-series identities. For the finite unitary group, we expand the generating function in terms of values of Hall---Littlewood functions, and we obtain combinatorial expressions for the character degree sums of real-valued characters with Frobenius---Schur indicator 1 or ?1." @default.
- W2164868467 created "2016-06-24" @default.
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- W2164868467 date "2014-01-03" @default.
- W2164868467 modified "2023-09-25" @default.
- W2164868467 title "Generating functions for real character degree sums of finite general linear and unitary groups" @default.
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- W2164868467 doi "https://doi.org/10.1007/s10801-013-0493-2" @default.
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