Quantum symmetric spaces

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dc.creatorDonin, J.
dc.creatorShnider, S.
dc.date1994-12-04
dc.date.accessioned2026-07-07T09:14:28Z
dc.date.available2026-07-07T09:14:28Z
dc.descriptionLet $G$ be a semisimple Lie group, ${\frak g}$ 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 $U_h{\frak g}$ and is commutative with respect to an involutive operator $\tilde{S}: A\otimes A \to A\otimes A$. Such a multiplication is unique. Let $M$ be a kählerian symmetric space with the canonical Poisson structure. Then we construct a $U_h{\frak g}$-invariant multiplication in $A$ which depends on two parameters and is a quantization of that structure.
dc.description16 pp, LaTeX
dc.identifierhttps://arxiv.org/abs/hep-th/9412031
dc.identifierhttp://arxiv.org/abs/hep-th/9412031
dc.identifierJ. Pure Appl. Algebra 100 (1995) 103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152681
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleQuantum symmetric spaces
dc.typetext

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