Degenerate Principal Series for Symplectic and Odd-Orthogonal Groups (Memoirs of the American Mathematical Society)

Degenerate Principal Series for Symplectic and Odd-Orthogonal Groups (Memoirs of the American Mathematical Society)

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Description

This memoir studies reducibility in a certain class of induced representations for $Sp_{2n}(F)$ and $SO_{2n+1}(F)$, where $F$ is $p$-adic. In particular, it is concerned with representations obtained by inducing a one-dimensional representation from a maximal parabolic subgroup (i.e., degenerate principal series representations). Using the Jacquet module techniques of Tadic, the reducibility points for such representations are determined. When reducible, the composition series is described, giving Langlands data and Jacquet modules for the irreducible composition factors.

Contents

Introduction Notation and preliminaries Components: useful special cases Reducibility points Components: the "ramified" case Components: the "unramified" case Composition series References.

Product Details

  • ISBN13: 9780821804827
  • Format: Paperback
  • Number Of Pages: 100
  • ID: 9780821804827
  • ISBN10: 0821804820

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