Schur Orthogonality Relations for the Finitary Infinite Symmetric Group |
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| Authors: | Robert W. Donley Mark Sepanski |
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| Affiliation: | 1. Mathematics Department , University of North Texas , Denton, TX, 76203, USA;2. Baylor University , Waco, TX, 76798, USA |
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| Abstract: | Let S f be the finitary infinite symmetric group. For a certain class of irreducible unitary representations of S f , a version of Schur orthogonality relations is proved. That is, we construct an invariant inner product on the matrix coefficient space of each representation and show that matrix coefficients for distinct representations are orthogonal with respect to these norms. |
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| Keywords: | Schur Orthogonality Relations Symmetric Groups Unitary Representations Matrix Coefficients |
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