The q-Boson Realizations of the Quantum Group $U_q(sl(n+1,C))$

Abstract

We give explicit expression of recurrency formulae of canonical realization for quantum enveloping algebras $U_q(sl(n+1,C))$. In these formulas the generators of the algebra $U_q(sl(n+1,C))$ are expressed by means of n-canonical q-boson pairs one auxiliary representation of the algebra $U_q(gl(n,C))$.

arXiv comment7pp

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