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arXiv · 0811.3698

Principal Realization of the Yangian Y(gl(n))

Chengming Bai·Mo-Lin Ge·Naihuan Jing
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Abstract

Motivated to simplify the structure of tensor representations we give a new set of generators for the Yangian $Y(sl(n))$ using the principal realization in simple Lie algebras. The isomorphism between our new basis and the standard Cartan-Weyl basis is also given. We show by example that the principal basis simplifies the Yangian action significantly in the tensor product of the fundamental representation and its dual.

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Chengming Bai, Mo-Lin Ge, Naihuan Jing. 2008-11-22. Principal Realization of the Yangian Y(gl(n)). https://doi.org/10.1063/1.3050319

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