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Prasad, A character relationship on GL (n, C )

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math.RT 1

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2024 1

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Character values at elements of order 2

math.RT · 2024-12-23 · reject · novelty 4.0

Character values at involutions for GL(n), Sp(2n), SO(2n), SO(2n+1), and G2 are written as products or alternating sums of dimensions of subgroup representations, with vanishing conditions, though only the GL(n) case is actually proven here.

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  • Character values at elements of order 2 math.RT · 2024-12-23 · reject · none · ref 5

    Character values at involutions for GL(n), Sp(2n), SO(2n), SO(2n+1), and G2 are written as products or alternating sums of dimensions of subgroup representations, with vanishing conditions, though only the GL(n) case is actually proven here.