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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7pp

Scientific paper

10.1088/0305-4470/26/3/003

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
$U_{q}(gl(n,C))$.

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