Certain Induced Complementary Series of the Universal Covering of the Symplectic Group

Details Certain Induced Complementary Series of the Universal Covering of the Symplectic Group Certain Induced Complementary Series of the Universal Covering of the Symplectic Group

2010-05-28

arxiv.org/abs/1005.5210v1

Mathematics

Representation Theory

21 pages

Scientific paper

In this paper, we give a construction of certain induced complementary series
of the universal covering of the symplectic groups. There are abundant such
representations besides those of linear groups. We achieve this by applying
invariant tensor product to degenerate complementary series on the Shilov
boundary.

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