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Twisted q-Yangians and Sklyanin determinants by Jing, Naihuan; Zhang, Jian is a scholarly article available to read on EtoBox.

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$q$-Yangians can be viewed both as quantum deformations of the loop algebras of upper triangular Lie algebras and deformations of the Yangian algebras. In this paper, we study the quantum affine algebra as a product of two copies of the $q$-Yangian algebras. This viewpoint enables us to investigate the invariant theory of quantum affine algebras and their twisted versions. We introduce the twisted Sklyanin determinant for twisted quantum affine algebras and establish various identities for the Sklyanin determinants.

Author

Jing, Naihuan; Zhang, Jian

Published

2024

Language

EN