4 papers
The algebra of K-invariant vector fields on a symmetric space G/K
Ilka Agricola, Roe Goodman
When is a complex reductive algebraic group and is a reductive symmetric space, the decomposition of $\C[G/K]$ as a -module was obtained (in a non-constructive way) by…
Invariante Differentialoperatoren und die Frobenius-Zerlegung einer G-Variet"at
Ilka Agricola
Sei G eine zusammenhängende reduktive komplexe algebraische Gruppe, die auf einer glatten affinen komplexen Varietät M wirke, und bezeichne $\Diff[G]{M}$ die G-invarianten algebrai…
A comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torus
Ilka Agricola, Bernd Ammann, Thomas Friedrich
We compare the eigenvalues of the Dirac and Laplace operator on a two-dimensional torus with respect to the trivial spin structure. In particular, we compute their variation up to…
The Gaussian Measure On Algebraic Varieties
Ilka Agricola, Thomas Friedrich
We prove that the ring $\Aff{\R}{M}$ of all polynomials defined on a real algebraic variety is dense in the Hilbert space $L^2(M,e^{-|x|^2}\deμ)$, where $\deμ$ denot…