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26 April 2024 |
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Article overview
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Oscillator versus prefundamental representations | H. Boos
; F. Göhmann
; A. Klümper
; Kh. S. Nirov
; A. V. Razumov
; | Date: |
14 Dec 2015 | Abstract: | For the case of quantum loop algebras $mathrm U_q(mathcal
L(mathfrak{sl}_{l + 1}))$ with $l = 1, 2$ we find the $ell$-weights and the
corresponding $ell$-weight vectors for the representations obtained via
Jimbo’s homomorphism, known also as evaluation representations. Then we find
the $ell$-weights and the $ell$-weight vectors for the $q$-oscillator
representations of Borel subalgebras of the same quantum loop algebras. This
allows, in particular, to relate $q$-oscillator and prefundamental
representations. | Source: | arXiv, 1512.4446 | Services: | Forum | Review | PDF | Favorites |
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