Iterative construction of $U_q (s\ell (n+1)) $ representations and Lax matrix factorisation

Details Iterative construction of $U_q (s\ell (n+1)) $ representations and Lax matrix factorisation Iterative construction of $U_q (s\ell (n+1)) $ representations and Lax matrix factorisation

2008-05-30

arxiv.org/abs/0805.4724v2

Lett.Math.Phys.85:221-234,2008

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, references added

Scientific paper

10.1007/s11005-008-0268-1

The construction of a generic representation of $g\ell(n+1)$ or of the trigonomentric deformation of its enveloping algebra known as algebraic induction is conveniently formulated in term of Lax matrices. The Lax matrix of the constructed representation factorises into parts determined by the Lax matrix of a generic representation of the algebra with reduced rank and others appearing in the factorised expression of the Lax matrix of the special Jordan-Schwinger representation.

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