Semi-classical twists for sl(3) and sl(4) boundary r-matrices of Cremmer-Gervais type

Details Semi-classical twists for sl(3) and sl(4) boundary r-matrices of Cremmer-Gervais type Semi-classical twists for sl(3) and sl(4) boundary r-matrices of Cremmer-Gervais type

2005-01-22

arxiv.org/abs/math/0501369v3

Mathematics

Quantum Algebra

Scientific paper

10.1007/s11005-005-4837-2

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).

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