English

On the isomorphism between the reduction algebra and the invariant differential operators on Lie groups

Quantum Algebra 2017-02-16 v4 Representation Theory

Abstract

Using techniques of deformation (bi)quantization we establish a non-canonical algebra isomorphism between the deformed reduction algebra and the invariant differential operators on G/H. Further results concerning other deformations of these two algebras are also proved. Part of the author's PhD thesis at University Paris 7, 2009.

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Cite

@article{arxiv.1103.4391,
  title  = {On the isomorphism between the reduction algebra and the invariant differential operators on Lie groups},
  author = {Panagiotis Batakidis},
  journal= {arXiv preprint arXiv:1103.4391},
  year   = {2017}
}

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27 pages