Gelfand-Tsetlin basis for representations of Yangians |
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| Authors: | A I Molev |
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| Institution: | (1) Centre for Mathematics and its Applications, The Australian National University, GPO Box 4, ACT 2601 Canberra, Australia;(2) Present address: Moscow Institute of Electronics and Mathematics, Trehsvyatitelskii per. 3/12, 109028 Moscow, Russia |
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| Abstract: | We construct an analog of the Gelfand-Tsetlin basis in the finite-dimensional irreducible representations of Yangians and find the matrix elements of the Drinfeld generators in this basis. As a special case of this construction, we obtain the well-known Gelfand-Tsetlin basis in the representations of the Lie algebra gl(N). |
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| Keywords: | 17B35 81R10 |
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