K-types and Invariants for the Representations of GSp(4,R)
Abstract
Automorphic representations of the adelic group GSp (4 ,A Q ) are of importance
in their relation to Siegel modular forms of degree 2. Given an automorphic
representation π of GSp (4 ,A Q ), it decomposes into a product of admissible
representations at each place. In the non-archimedean case, many useful results
have been produced by Roberts and Schmidt. Here we find some invariants for
the case of GSp (4 ,R ), including the K -type structure, the L- and epsilon -factors, and
the Gelfand-Kirillov dimension for all irreducible admissible representations.
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- OU - Dissertations [9305]