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20 April 2024

» arxiv » 1701.2627

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Oscillator versus prefundamental representations II. Arbitrary higher ranks
H. Boos ; F. Göhmann ; A. Klümper ; Kh. S. Nirov ; A. V. Razumov ;
Date:	10 Jan 2017
Abstract:	We find the $ell$-weights and the $ell$-weight vectors for the highest $ell$-weight $q$-oscillator representations of the positive Borel subalgebra of the quantum loop algebra $U_q(mathcal L(mathfrak{sl}_{l+1}))$ for arbitrary values of $l$. Having this, we establish the explicit relationship between the $q$-oscillator and prefundamental representations. Our consideration allows us to conclude that the prefundamental representations can be obtained by tensoring $q$-oscillator representations.
Source:	arXiv, 1701.2627
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