A Geometric Realization of Degenerate Principal Series Representations of Symplectic Groups

Details A Geometric Realization of Degenerate Principal Series Representations of Symplectic Groups A Geometric Realization of Degenerate Principal Series Representations of Symplectic Groups

1998-09-15

arxiv.org/abs/math/9809076v1

Mathematics

Representation Theory

13 pages, AmS-LaTeX

Scientific paper

The multidimensional quantization procedure, proposed by the first author and
its modifications (reduction to radicals and lifting on U(1)-coverings) give us
a almost universal theoretical tools to find irreducible representations of Lie
groups. By using this method and the root theory, we realize in this paper the
representations of the degenerate principal series of symplectic groups.

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