Symmetric Spaces and Star representations II : Causal Symmetric Spaces

Details Symmetric Spaces and Star representations II : Causal Symmetric Spaces Symmetric Spaces and Star representations II : Causal Symmetric Spaces

2001-05-08

arxiv.org/abs/math/0105060v1

Mathematics

Quantum Algebra

13 pages

Scientific paper

10.1016/S0393-0440(01)00057-2

We construct and identify star representations canonically associated with
holonomy reducible simple symplectic symmetric spaces. This leads the a
non-commutative geometric realization of the correspondence between causal
symmetric spaces of Cayley type and Hermitian symmetric spaces of tube type.

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