ON THE FRTS APPROACH TO QUANTIZED CURRENT-ALGEBRAS

Citation
Jt. Ding et S. Khoroshkin, ON THE FRTS APPROACH TO QUANTIZED CURRENT-ALGEBRAS, letters in mathematical physics, 45(4), 1998, pp. 331-352
Citations number
25
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
ISSN journal
03779017
Volume
45
Issue
4
Year of publication
1998
Pages
331 - 352
Database
ISI
SICI code
0377-9017(1998)45:4<331:OTFATQ>2.0.ZU;2-3
Abstract
We study the possibility to establish L-operator's formalism by Faddee v-ReshetikhinTakhtajan-Semenov-Tian-Shansky (FRST) for quantized curre nt algebras, that is, for quantum affine algebras in the 'new realizat ion' by V. Drinfeld with the corresponding Hopf algebra structure and for their Yangian counterpart. We establish this formalism using the t wisting procedure by Tolstoy and the second author and explain the pro blems which on I:RST approach encounters for quantized current algebra s. We also show that, for the case of U-q (<(sl)over cap (n)>), entrie s of the L-operators of the FRTS type give the Drinfeld current operat ors for the nonsimple roots, which we discovered recently. As an appli cation, we deduce the commutation relations between these current oper ators for U-q (<(sl)over cap (n)>).