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A construction of level 1 irreducible modules for $U q(\hat{sp} 4)$ using level 2 intertwiners for $U q(\hat{sl} 2)$ by Feigin, Boris; Hong, Jin; Miwa, Tetsuji is a scholarly article available to read on EtoBox.

What is A construction of level 1 irreducible modules for $U q(\hat{sp} 4)$ using level 2 intertwiners for $U q(\hat{sl} 2)$ about?

We bosonize certain components of level $\ell$ $U_q(\hat{sl}_2)$-intertwiners of $(\ell + 1)$-dimensions. For $\ell = 2$, these intertwiners, after certain modification by bosonic vertex operators, are added to the algebra $U_q(\hat{sl}_2)$ at level 2 to construct all irreducible highest weight representations of level 1 for the quantum affine algebra $U_q(\hat{sp}_4)$.

Author

Feigin, Boris; Hong, Jin; Miwa, Tetsuji

Published

2002

Language

EN