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

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

2008-11-22

arxiv.org/abs/0811.3698v1

J. Math. Phys. 50, 013518 (2009) (7 pages)

Mathematics

Quantum Algebra

10 pages

Scientific paper

10.1063/1.3050319

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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