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

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

2010-07-20

arxiv.org/abs/1007.3400v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

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

Scientific paper

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
$U_{q,p}(\widehat{sl_N})$.

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