Symmetric Spaces and Star representations II: Causal Symmetric Spaces
Bieliavsky, P. · Pevzner, M.
Quantum Algebra
Mathematical Physics
Differential Geometry
Representation Theory
22E46, 53C35, 81S10
Original · EN
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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