Isomorphism between two realizations of the Yangian Y(so_3)

Abstract

The isomorphism between Drinfeld's new realization and the FRT realization is proved for the Yangian algebra Y(so_3) by using Gauss decomposition.

15 pages

References in corpus (3)

• Parabolic presentations of the Yangian Y(gl_n)
• On the R-matrix realization of Yangians and their representations
• R-matrix presentation for (super)-Yangians Y(g)

Cited by in corpus (6)

• Equivalences between three presentations of orthogonal and symplectic Yangians
• Isomorphism between the $R$-matrix and Drinfeld presentations of Yangian in types $B$, $C$ and $D$
• Twisted Yangians of small rank
• Representations of the Yangians associated with Lie superalgebras $\mathfrak{osp}(1|2n)$
• Representations of the orthosymplectic Yangian
• On the R-matrix realization of the quantum loop algebra. The case of $U_q(D_n^{(2)})$