Mathematics – Quantum Algebra
Scientific paper
2002-02-21
Int.J.Mod.Phys. A17 (2002) 4043-4068
Mathematics
Quantum Algebra
27 pages, corrected minor mistakes and typos, added references
Scientific paper
10.1142/S0217751X02010571
Starting from the classification of real Manin triples done in a previous paper we look for those that are isomorphic as 6-dimensional Lie algebras with the ad-invariant form used for construction of the Manin triples. We use several invariants of the Lie algebras to distinguish the non-isomorphic structures and give explicit form of maps between Manin triples that are decompositions of isomorphic Drinfeld doubles. The result is a complete list of 6-dimensional real Drinfeld doubles. It consists of 22 classes of non-isomorphic Drinfeld doubles.
Hlavaty Ladislav
Snobl Libor
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