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arXiv · 1103.1721

Invariant differential operators on a class of multiplicity free spaces

Hubert Rubenthaler
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Abstract

If $(G,V)$ is a multiplity free space with a one dimensional quotient we give generators and relations for the non-commutative algebra $D(V)^{G'}$ of invariant differential operators under the semi-simple part $G'$ of the reductive group $G$. More precisely we show that $D(V)^{G'}$ is the quotient of a Smith algebra by a completely described two-sided ideal.

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BibTeXRIS

Hubert Rubenthaler. 2014-02-13. Invariant differential operators on a class of multiplicity free spaces. https://doi.org/10.2140/pjm.2014.270.473

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