Spectral asymptotics for spinor Laplacians and multiplicities

Moscovici, Henri

doi:10.1090/S0002-9939-1987-0877054-5

Spectral asymptotics for spinor Laplacians and multiplicities
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by Henri Moscovici PDF

Proc. Amer. Math. Soc. 99 (1987), 765-771 Request permission

Abstract:

We use Getzler’s formula for the heat kernel of the spinor Laplacian to derive information about the asymptotic distribution of multiplicities in the quasi-regular representation of a semisimple Lie group $G$ modulo a co-compact discrete subgroup $\Gamma$.

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