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BRANCHING RULES FOR MODULAR FUNDAMENTAL REPRESENTATIONS OF SYMPLECTIC GROUPS

Published online by Cambridge University Press:  01 July 2000

A. A. BARANOV  and
I. D. SUPRUNENKO
A. A. BARANOV
Affiliation:
Institute of Mathematics, National Academy of Sciences of Belarus, Surganova 11, Minsk, 220072, Belarus
I. D. SUPRUNENKO
Affiliation:
Institute of Mathematics, National Academy of Sciences of Belarus, Surganova 11, Minsk, 220072, Belarus
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Abstract

In this paper, branching rules for the fundamental representations of the symplectic groups in positive characteristic are found. The submodule structure of the restrictions of the fundamental modules for the group Sp2n(K) to the naturally embedded subgroup Sp2n−2(K) is determined. As a corollary, inductive systems of fundamental representations for Sp∞(K) are classified. The submodule structure of the fundamental Weyl modules is refined.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 32 , Issue 4 , July 2000 , pp. 409 - 420
Copyright
© The London Mathematical Society 2000

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