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From twisted quantum loop algebras to twisted Yangians. (English) Zbl 1377.17023

Summary: We prove how the Yangian of \(\mathfrak{gl}_N\) in its RTT presentation and G. I. Olshanskiĭ’s twisted Yangians [Quantum groups, Lect. Notes Math. 1510, 104–119 (1992; Zbl 0780.17025)] for the orthogonal and symplectic Lie algebras can be obtained by a degeneration process from the corresponding quantum loop algebra and some of its twisted analogues.

MSC:

17B67 Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras

Citations:

Zbl 0780.17025
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