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- W4251570377 abstract "This chapter constructs the hypoelliptic Laplacian ℒbX > 0 acting on the total space of a vector bundle <italic>TX</italic> ⊕ <italic>N</italic> ≃ <bold>g</bold> over the symmetric space <italic>X</italic> = <italic>G/K</italic>. The operator ℒbX is obtained using general constructions involving Clifford algebras and Heisenberg algebras, and also the Dirac operator of Kostant. The end result is the elliptic Laplacian <italic>𝓛</italic> <sup>X</sup> on <italic>X</italic> as well as the hypoelliptic Laplacian ℒbX, which is a second order hypoelliptic operator acting on X^. Among other things, this chapter gives a key formula relating <italic>𝓛</italic> <sup>X</sup>ℒbX, as well as various formulas involving the operator ℒbX+La." @default.
- W4251570377 created "2022-05-12" @default.
- W4251570377 creator A5006820072 @default.
- W4251570377 date "2011-08-28" @default.
- W4251570377 modified "2023-09-25" @default.
- W4251570377 title "The hypoelliptic Laplacian on X = G/K" @default.
- W4251570377 doi "https://doi.org/10.23943/princeton/9780691151298.003.0003" @default.
- W4251570377 hasPublicationYear "2011" @default.
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