Isomorphism between two realizations of the Yangian Y(so_3)
Naihuan Jing, Ming Liu
TL;DR
This paper proves the isomorphism between two different realizations of the Yangian Y(so_3) algebra, using Gauss decomposition to establish the equivalence.
Contribution
It establishes the isomorphism between Drinfeld's and FRT realizations of Y(so_3), clarifying their structural relationship.
Findings
Proof of isomorphism between realizations
Use of Gauss decomposition in Yangian analysis
Structural understanding of 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.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology