ar X iv : h ep - t h / 94 12 03 1 v 1 4 D ec 1 99 4 Quantum symmetric spaces
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چکیده
Let G be a semisimple Lie group, g its Lie algebra. For any symmetric space M over G we construct a new (deformed) multiplication in the space A of smooth functions on M. This multiplication is invariant under the action of the Drinfeld–Jimbo quantum group U h g and is commutative with respect to an involutive operator˜S : A⊗A → A⊗A. Such a multiplication is unique. Let M be a kählerian symmetric space with the canonical Pois-son structure. Then we construct a U h g-invariant multiplication in A which depends on two parameters and is a quantization of that structure.
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تاریخ انتشار 1994