The nonstandard q-deformation of enveloping algebra U(son) related to quantum gravity
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Date
2001
Authors
Klimyk, A.
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Abstract
We describe properties of the nonstandard q-deformation U'q(son) of the universal enveloping algebra U(son) of the Lie algebra son which is related to 2+1 quantum gravity on Riemannian surfaces. This algebra does not coincide with the Drinfeld-Jimbo quantum algebra Uq(son). Many unsolved problems are formulated.
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Keywords
нестандартна q-деформація U' (son), квантова гравітація, квантова алгебра Дрінфельда-Джімбо
Citation
Klimyk A. U. The nonstandard q-deformation of enveloping algebra U(son ) related to quantum gravity / Klimyk A. U. // Наукові записки НаУКМА : Фізико-математичні науки. - 2001. - Т. 19. - С. 13-19.