English

Invariant differential operators on a class of multiplicity free spaces

Representation Theory 2016-01-20 v2 Rings and Algebras

Abstract

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

Keywords

Cite

@article{arxiv.1103.1721,
  title  = {Invariant differential operators on a class of multiplicity free spaces},
  author = {Hubert Rubenthaler},
  journal= {arXiv preprint arXiv:1103.1721},
  year   = {2016}
}

Comments

31 pages