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p-Adic Grassmann Manifold

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1941)

Summary

In Chap. 9 we give the analogous theory over the p-adic, giving the decomposition of the representation of GL d (ℤ p ) afforded by the p-adic Grassmannian. The relative position of two planes p, q ⊆ ℤ p d is given by the type of the ℤ p -module p ∩ q, i.e., by a partition. We calculate the measure on Ω m d, and describe the idempotents — the p-adic multivariable Jacobi polynomials.

Keywords

  • Unitary Representation
  • Direct Limit
  • Harmonic Measure
  • Inverse Limit
  • Maximal Compact Subgroup

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 2008 Springer-Verlag Berlin Heidelberg

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(2008). p-Adic Grassmann Manifold. In: Haran, S.M.J. (eds) Arithmetical Investigations. Lecture Notes in Mathematics, vol 1941. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78379-4_10

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