5 papers
Classification of 6-dimensional real Drinfeld doubles
L. Snobl, L. Hlavaty
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…
Classification of 6-dimensional real Manin triples
L. Hlavaty, L. Snobl
We present a complete list of 6-dimensional Manin triples or, equivalently, of 3-dimensional Lie bialgebras. We start from the well known classification of 3-dimensional real Lie a…
Classification of Poisson-Lie T-dual models with two-dimensional targets
L. Hlavaty, L. Snobl
Four-dimensional Manin triples and Drinfeld doubles are classified and corresponding two-dimensional Poisson-Lie T-dual sigma models on them are constructed. The simplest example o…
Solution of a Yang-Baxter system
L. Hlavaty, L. Snobl
Yang-Baxter system related to quantum doubles is introduced and large class of both continuous and discrete symmetries of the solution manifold are determined. Strategy for solutio…
Yang-Baxter systems, solutions and applications
L. Hlavaty
Two types of Yang-Baxter systems play roles in the theoretical physics -- constant and colour dependent. The constant systems are used mainly for construction of special Hopf algeb…