Level One Representations of Quantum Affine Algebras $U_q(C^{(1)}_n)$
We give explicit constructions of quantum symplectic affine algebras at level 1 using vertex operators.
math.QA↗
arXiv subjects
Yoshitaka Koyama
Publications and source records attributed to Yoshitaka Koyama.
Bosonic Realizations of $U_q(C^{(1)}_n)$
We construct explicitly the quantum symplectic affine algebra $U_q(\widehat{sp}_{2n})$ using bosonic fields. The Fock space decomposes into irreducible modules of level -1/2, quantizing the Feingold-Frenkel construction for q=1.
q-alg↗
Vertex Operators of Admissible Modules of $U_q(C^{(1)}_n)$
Using our recent bosonic realization of $U_q(\widehat{sp}_{2n})$, we construct explicitly the vertex operators for the level -1/2 modules of $U_q(\widehat{sp}_{2n})$ using bosonic fields. Our method contains a detailed analysis of all the q-intertwining relations.
q-alg↗
Bosonization of Admissible Representations of $U_q(\widehat{sl}_2)$ at Level $-\frac{1}{2}$ and $q$-Vertex Operators
We construct a representation of $U_q(\widehat{sl}_2)$ at level $-1/2$ by using the bosonic Fock spaces. The irreducible modules are obtained as the kernel of a certain operator, in contrast to the construction by Feingold and Frenkel for $q=1$ where such a procedure is not necessary. We also bosonize the $q$-vertex operators associated with the vector representation.
q-alg↗