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Article

Drinfeld–Sokolov reduction in quantum algebras: canonical form of generating matrices

Letters in Mathematical Physics. 2018. Vol. 108. P. 2303-2314.
Gurevich D., Saponov P. A., Talalaev D.

We define the second canonical forms for the generating matrices of the Reflection Equation algebras and the braided Yangians, associated with all even skewinvertible involutive and Hecke symmetries. By using the Cayley–Hamilton identities for these matrices, we show that they are similar to their canonical forms in the sense of Chervov and Talalaev (J Math Sci (NY) 158:904–911, 2008).