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Analyse conforme sur les algèbres de Jordan
Published online by Cambridge University Press: 09 April 2009
Abstract
We construct the Weil representation of the Kantor-Koecher-Tits Lie algebra g associated to a simple real Jordan algebra V. Later we introduce a family of integral operators intertwining the Weil representation with the infinitesimal representations of the degenerate principal series of the conformal group G of the Jordan algebra V. The decomposition of L2(V) in the case of Jordan algebra of real square matrices is given using this construction.
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- Copyright © Australian Mathematical Society 2002
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