TY - JOUR
T1 - Two-parameter Quantum Affine Algebra Ur,s (Sln) Drinfel'd realization and quantum affine lyndon basis
AU - Hu, Naihong
AU - Rosso, Marc
AU - Zhang, Honglian
PY - 2008/3
Y1 - 2008/3
N2 - We further define two-parameter quantum affine algebra Ur,s (Sln) (n > 2) after the work on the finite cases (see [BW1,BGH1,HS,BH]), which turns out to be a Drinfel'd double. Of importance for the quantum affine cases is that we can work out the compatible two-parameter version of the Drinfel'd realization as a quantum affinization of U r,s (Sln) and establish the Drinfel'd Isomorphism Theorem in the two-parameter setting, via developing a new combinatorial approach (quantum calculation) to the quantum affine Lyndon basis we present (with an explicit valid algorithm based on the use of Drinfel'd generators).
AB - We further define two-parameter quantum affine algebra Ur,s (Sln) (n > 2) after the work on the finite cases (see [BW1,BGH1,HS,BH]), which turns out to be a Drinfel'd double. Of importance for the quantum affine cases is that we can work out the compatible two-parameter version of the Drinfel'd realization as a quantum affinization of U r,s (Sln) and establish the Drinfel'd Isomorphism Theorem in the two-parameter setting, via developing a new combinatorial approach (quantum calculation) to the quantum affine Lyndon basis we present (with an explicit valid algorithm based on the use of Drinfel'd generators).
UR - https://www.scopus.com/pages/publications/38749118223
U2 - 10.1007/s00220-007-0405-1
DO - 10.1007/s00220-007-0405-1
M3 - 文章
AN - SCOPUS:38749118223
SN - 0010-3616
VL - 278
SP - 453
EP - 486
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 2
ER -