转移算子的$\ell$ -权和因子分解
$\ell$-weights and factorization of transfer operators
摘要:
分析了量子圈代数$\ell$对$l = 1$和$l = 2$的评价权和$q$ -振子表示,并证明了相应的量子可积系统的转移算符的因式分解关系.
英文摘要:
We analyze the $\ell$--weights of the evaluation and $q$-oscillator representations of the quantum loop algebras $\mathrm U_q(\mathcal L(\mathfrak{sl}_{\, l + 1}))$ for $l = 1$ and $l = 2$ and prove the factorization relations for the transfer operators of the associated quantum integrable systems.
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