Twisted Quantum Affine Algebras
Twisted Quantum Affine Algebras
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DOI：
10.1007/s002200050431
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发表时间：
1996-11
影响因子：
2.4
通讯作者：
Vyjayanthi Chari;A. Pressley
中科院分区：
文献类型：
--
作者：
Vyjayanthi Chari;A. Pressley
给出了扭曲量子仿射代数有限维不可约表示的最高权值分类。在未扭曲的情况下，这样的表示在一元多项式的元组中是一一对应的。但是在未扭曲的情况下，底层有限维复李代数的秩是简单李代数吗？的子代数的秩是多少？由图自同构固定。这种双元组确定表示的方式也比未扭曲的情况更复杂。
We give a highest weight classification of the finite-dimensional irreducible representations of twisted quantum affine algebras. As in the untwisted case, such representations are in one-to-one correspondence withn-tuples of monic polynomials in one variable. But whereas in the untwisted caseis the rank of the underlying finite-dimensional complex simple Lie algebra ?, in the twisted casenis the rank of the subalgebra of ? fixed by the diagram automorphism. The way in which such ann-tuple determines a representation is also more complicated than in the untwisted case.