We obtain explicit formulas for the semi-classical twists deforming the
coalgebraic structure of U(sl(3)) and U(sl(4)). In rank 2 and 3 the
corresponding universal R-matrices quantize the boundary r-matrices of
Cremmer-Gervais type defining Lie Frobenius structures on the maximal parabolic
subalgebras in sl(n).
@article{0501369,
author = {Samsonov, M.},
title = {Semi-classical twists for sl(3) and sl(4) boundary r-matrices of
Cremmer-Gervais type},
journal = {arXiv},
volume = {2005},
number = {0},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/0501369}
}
Samsonov, M. Semi-classical twists for sl(3) and sl(4) boundary r-matrices of
Cremmer-Gervais type. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0501369/