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Intertwining Operators

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2170)

Abstract

In this chapter we determine all conformally covariant differential operators between the spaces of differential forms on the standard Riemannian sphere Sn, and thus solve Problems A and B in the case where X = Y = Sn. We note that the case X = Y (and G = G’) is much easier than the case X = Y which we have discussed in Chaps. 6–11.

Keywords

  • Verma Module
  • Principal Series
  • Previous Chapter
  • Levi Subgroup
  • Principal Series Representation

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© 2016 Springer Nature Singapore Pte Ltd.

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Kobayashi, T., Kubo, T., Pevzner, M. (2016). Intertwining Operators. In: Conformal Symmetry Breaking Operators for Differential Forms on Spheres. Lecture Notes in Mathematics, vol 2170. Springer, Singapore. https://doi.org/10.1007/978-981-10-2657-7_12

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