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Equivariant holomorphic maps into the Siegel disc and the metaplectic representation
Published online by Cambridge University Press: 09 April 2009
Abstract
We restrict the metaplectic representation to subgroups G of the symplectic group associated to equivariant holomorphic maps into the Siegel disc. We describe the invariant subspaces of the decomposition, and reduce the problem to the decomposition of a space of ‘harmonic’ polynomials under the action of the maximal compact subgroup of G.
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- Research Article
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- Copyright © Australian Mathematical Society 1997
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