Extremal Projector and Dynamical Twist
Teoretičeskaâ i matematičeskaâ fizika, Tome 139 (2004) no. 1, pp. 158-176
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We describe a relation between the dynamical twist $J(\lambda)$ and the extremal projector for simple Lie algebras. This correspondence finds two obvious applications: first, the solution of the Arnaudon–Buffenoir–Ragoucy–Roche equation can be obtained from the known multiplicative expression for the extremal projector; second, the structure constants are determined by the matrix coefficients of the dynamical twist.
Keywords:
extremal projector, dynamical twist.
@article{TMF_2004_139_1_a11,
author = {S. M. Khoroshkin},
title = {Extremal {Projector} and {Dynamical} {Twist}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {158--176},
publisher = {mathdoc},
volume = {139},
number = {1},
year = {2004},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2004_139_1_a11/}
}
S. M. Khoroshkin. Extremal Projector and Dynamical Twist. Teoretičeskaâ i matematičeskaâ fizika, Tome 139 (2004) no. 1, pp. 158-176. http://geodesic.mathdoc.fr/item/TMF_2004_139_1_a11/