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Invariant Form of the Generators of Semisimple Lie and Quantum Algebras in Their Arbitrary Finite-Dimensional Representation
A. N. Leznovab a Institute for High Energy Physics
b Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics
Abstract:
An explicit form of the generators of quantum and ordinary semisimple algebras for an arbitrary finite-dimensional representation is found. The generators corresponding to the simple roots are obtained in terms of a solution of a system of matrix equations. The result is presented in the form of $(N_l\times N_l)$ matrices, where $N_l$ is the dimension of the corresponding representation determined by the invariant Weyl formula.
Received: 05.10.1999
Citation:
A. N. Leznov, “Invariant Form of the Generators of Semisimple Lie and Quantum Algebras in Their Arbitrary Finite-Dimensional Representation”, TMF, 126:3 (2001), 370–392; Theoret. and Math. Phys., 126:3 (2001), 307–325
Linking options:
https://www.mathnet.ru/eng/tmf436https://doi.org/10.4213/tmf436 https://www.mathnet.ru/eng/tmf/v126/i3/p370
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Abstract page: | 283 | Full-text PDF : | 179 | References: | 34 | First page: | 2 |
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