## New boson realizations of quantum groups $$U_q (A_n)$$.(English)Zbl 0963.81034

Slovák, Jan (ed.) et al., The proceedings of the 19th Winter School “Geometry and physics”, Srní, Czech Republic, January 9-15, 1999. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 63, 75-84 (2000).
Summary: We describe a construction of boson realizations of quantum groups. The realizations are expressed by means of $$r(n-r+1)$$ $$q$$-deformed bosons pairs and generators of certain subalgebras of $$U_q(A_n)$$.
For the entire collection see [Zbl 0940.00040].

### MSC:

 81R50 Quantum groups and related algebraic methods applied to problems in quantum theory 17B37 Quantum groups (quantized enveloping algebras) and related deformations