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Subelliptic Peter–Weyl and Plancherel theorems on compact, connected, semisimple Lie groups
Journal article   Peer reviewed

Subelliptic Peter–Weyl and Plancherel theorems on compact, connected, semisimple Lie groups

András Domokos
Nonlinear analysis, Vol.126, pp.131-142
10/2015
DOI: https://doi.org/10.1016/j.na.2015.04.010
Handle:
https://hdl.handle.net/20.500.12741/rep:4986

Abstract

Semisimple Lie groups Subelliptic Laplacian Sub-Riemannian geometry
We will study the connections between the elliptic and subelliptic versions of the Peter–Weyl and Plancherel theorems, in the case when the sub-Riemannian structure is generated naturally by the choice of a Cartan subalgebra. Along the way we will introduce and study the subelliptic Casimir operator associated to the subelliptic Laplacian.

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