Higher Level q-Oscillator Representations for $$U_q(C_n^{(1)}),U_q(C^{(2)}(n+1))$$ and $$U_q(B^{(1)}(0,n))$$

نویسندگان

چکیده

We introduce higher level q-oscillator representations for the quantum affine (super)algebras of type $$C_n^{(1)},C^{(2)}(n+1)$$ and $$B^{(1)}(0,n)$$ . These are constructed by applying fusion procedure to one which were obtained through studies tetrahedron equation. prove that these irreducible. For $$C_n^{(1)}$$ $$C^{(2)}(n+1)$$ , we compute their characters explicitly in terms Schur polynomials.

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ژورنال

عنوان ژورنال: Communications in Mathematical Physics

سال: 2021

ISSN: ['0010-3616', '1432-0916']

DOI: https://doi.org/10.1007/s00220-021-04009-x