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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 94, Number 2, Pages 193–199
(Mi tmf1416)
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This article is cited in 8 scientific papers (total in 9 papers)
Quantum groups, $q$ oscillators, and covariant algebras
P. P. Kulish St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
The physical interpretation of the basic concepts of the theory of covariant groups–coproducts, representations and corepresentations, action and coaction–is discussed for the examples of the simplest $q$ deformed objects (quantum groups and algebras, $q$ oscillators, and comodule algebras). It is shown that the reduction of the covariant algebra of quantum second-rank tensors includes the algebras of theq oscillator and quantum sphere. A special case of covariant algebra corresponds to the braid group in a space with nontrivial topology.
Received: 08.09.1992
Citation:
P. P. Kulish, “Quantum groups, $q$ oscillators, and covariant algebras”, TMF, 94:2 (1993), 193–199; Theoret. and Math. Phys., 94:2 (1993), 137–141
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https://www.mathnet.ru/eng/tmf1416 https://www.mathnet.ru/eng/tmf/v94/i2/p193
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Abstract page: | 459 | Full-text PDF : | 185 | References: | 37 | First page: | 3 |
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