The invariant form of the generators of semisimple Lie and quantum algebras in their arbitrary finite-dimensional representation

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dc.creatorLeznov, A. N.
dc.date1999-04-25
dc.date.accessioned2026-07-07T04:32:47Z
dc.date.available2026-07-07T04:32:47Z
dc.descriptionAn 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.
dc.descriptionLaTeX, 20 pages
dc.identifierhttps://arxiv.org/abs/math-ph/9904021
dc.identifierhttp://arxiv.org/abs/math-ph/9904021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58324
dc.subjectMathematical Physics
dc.titleThe invariant form of the generators of semisimple Lie and quantum algebras in their arbitrary finite-dimensional representation
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