Higher level q-oscillator representations for $U_q(C^{(1)}_n),U_q(C^{(2)}(n+1))$ and $U_q(B^{(1)}(0,n))$
Higher level q-oscillator representations for $U_q(C^{(1)}_n),U_q(C^{(2)}(n+1))$ and $U_q(B^{(1)}(0,n))$
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$U_q(C^{(1)}_n),U_q(C^{(2)}(n 1))$ 和 $U_q(B^{(1)}(0,n) 的更高级别 q 振荡器表示
DOI：
10.1007/s00220-021-04009-x
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发表时间：
2021
影响因子：
2.4
通讯作者：
Jae-Hoon Kwon and Masato Okado
中科院分区：
文献类型：
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作者：
Masato Okado and Ryo Takenaka;Hiroto Kusano and Masato Okado;Jae-Hoon Kwon and Masato Okado;Jae-Hoon Kwon and Masato Okado
我们为 and 类型的量子仿射（超）代数引入了更高级别的 q 振荡器表示。这些表示是通过将融合程序应用于通过四面体方程的研究获得的水平oneq振荡器表示来构造的。我们证明这些更高级别的 q 振荡器表示是不可约的。对于 typeand，我们根据 Schur 多项式显式计算它们的字符。
We introduce higher levelq-oscillator representations for the quantum affine (super)algebras of typeand. These representations are constructed by applying the fusion procedure to the level oneq-oscillator representations which were obtained through the studies of the tetrahedron equation. We prove that these higher levelq-oscillator representations are irreducible. For typeand, we compute their characters explicitly in terms of Schur polynomials.