Free field realization of commutative family of elliptic Feigin-Odesskii algebra

Abstract

In this review, we study free field realizations of the Feigin-Odesskii algebra. We construct free field realizations of a pair of infinitely many commutative operators, associated with the elliptic quantum group $U_{q,p}(\widehat{s{l}_N})$.

22 pages, RIMS Kokyuroku, RIMS Workshop "Mathematical method of integrable systems and its application", held in Hakodate, Japan, 2009