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The 4th structure

Alexander Stolin (Institutionen för matematiska vetenskaper) ; Julia Yermolova-Magnusson (Institutionen för matematiska vetenskaper)
Czechoslovak Journal of Physics (0011-4626 (Print)). Vol. 56 (2006), 10-11, p. 1293-1297.
[Artikel, refereegranskad vetenskaplig]

According to conclusions made by F. Montaner and E. Zelmanov (unpublished), there exist four Lie bialgebra structures on g[u] up to classical twisting. Therefore we investigated four possible cases for the classical double and the corresponding Lie co-bracket on g[u]. Among them, a new case, where the Lie bialgebra structures are in an one-to-one correspondence with the first introduced here quasi-rational solutions of the CYBE. We also considered quasi-rational r-matrices in sl(n), particularly, we calculated all the quasi-rational r-matrices in sl(2)

Nyckelord: classical Yang–Baxter equation, Lie bialgebra, quasi-Frobenius Lie algebra,

Denna post skapades 2007-01-19. Senast ändrad 2010-01-26.
CPL Pubid: 36254


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