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Symmetry Breaking for Representations of Rank One Orthogonal Groups II pp 223–249Cite as

A Conjecture: Symmetry Breaking for Irreducible Representations with Regular Integral Infinitesimal Character

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2234))

Abstract

We conjecture that Theorems 4.1 and 4.2 hold in more generality. We will formalize and explain this conjecture in this chapter more precisely and provide some supporting evidence.

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References

  1. D.H. Collingwood, Representations of Rank One Lie Groups. Res. Notes in Math., vol. 137 (Pitman (Advanced Publishing Program), Boston, MA, 1985), vii+244 pp.

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  2. B.H. Gross, D. Prasad, On the decomposition of a representations of SOn when restricted to SOn−1. Can. J. Math. 44, 974–1002 (1992)

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  3. T. Kobayashi, B. Speh, Symmetry Breaking for Representations of Rank One Orthogonal Groups. Mem. Amer. Math. Soc., vol. 238 (Amer. Math. Soc., Providence, RI, 2015), v+112 pp. ISBN: 978-1-4704-1922-6. http://dx.doi.org/10.1090/memo/1126

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Authors and Affiliations

  1. Graduate School of Mathematical Sciences, The University of Tokyo, Komaba, Tokyo, Japan

    Toshiyuki Kobayashi

  2. Kavli IPMU, Kashiwa, Japan

    Toshiyuki Kobayashi

  3. Department of Mathematics, Cornell University, Ithaca, NY, USA

    Birgit Speh

Authors
  1. Toshiyuki Kobayashi
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  2. Birgit Speh
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Kobayashi, T., Speh, B. (2018). A Conjecture: Symmetry Breaking for Irreducible Representations with Regular Integral Infinitesimal Character. In: Symmetry Breaking for Representations of Rank One Orthogonal Groups II. Lecture Notes in Mathematics, vol 2234. Springer, Singapore. https://doi.org/10.1007/978-981-13-2901-2_13

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