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On local lifts from G2(ℝ) to Sp6(ℝ) and F4(ℝ)

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Abstract

Let G2(ℝ) × Sp6(ℝ) and G2(ℝ) × F4(ℝ) be split dual pairs in split E7(ℝ) and E8(ℝ), respectively. It is known that the exceptional correspondences for these dual pairs are functorial on the level of infinitesimal characters. In this paper we show that these dual pair correspondences are functorial for the minimal K-types of principal series representations.

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Authors and Affiliations

  1. Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore, 117543

    Hung Yean Loke

  2. Department of Mathematics, University of Utah, Salt Lake City, UT, 84112, USA

    Gordan Savin

Authors
  1. Hung Yean Loke
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  2. Gordan Savin
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Additional information

Gordan Savin’s research is partially supported be NSF Grant no. DMS-0551846

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Loke, H.Y., Savin, G. On local lifts from G2(ℝ) to Sp6(ℝ) and F4(ℝ). Isr. J. Math. 159, 349–371 (2007). https://doi.org/10.1007/s11856-007-0051-5

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  • DOI: https://doi.org/10.1007/s11856-007-0051-5

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