Oscillator versus prefundamental representations II. Arbitrary higher ranks
Mathematical Physics
2017-09-27 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
We find the -weights and the -weight vectors for the highest -weight -oscillator representations of the positive Borel subalgebra of the quantum loop algebra for arbitrary values of . Having this, we establish the explicit relationship between the -oscillator and prefundamental representations. Our consideration allows us to conclude that the prefundamental representations can be obtained by tensoring -oscillator representations.
Keywords
Cite
@article{arxiv.1701.02627,
title = {Oscillator versus prefundamental representations II. Arbitrary higher ranks},
author = {H. Boos and F. Göhmann and A. Klümper and Kh. S. Nirov and A. V. Razumov},
journal= {arXiv preprint arXiv:1701.02627},
year = {2017}
}
Comments
26 pages, LaTeX2e; typos corrected, references with comments added. arXiv admin note: text overlap with arXiv:1512.04446, arXiv:1702.08710