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

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

2011-03-22

arxiv.org/abs/1103.4391v3

Mathematics

Quantum Algebra

23 pages

Scientific paper

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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