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- L. Šnobl, Ladislav Hlavatý
- 2002

Starting from the classification of real Manin triples we look for those that are isomorphic as 6–dimensional Drinfeld doubles i.e. Lie algebras with the ad–invariant form used for construction of… (More)

- Ladislav Hlavatý
- 2004

We look for 3–dimensional Poisson–Lie dualizable sigma models that satisfy the vanishing β–function equations with constant dilaton field. Using the Poisson–Lie T–plurality we then construct… (More)

- Ladislav Hlavatý, L. Šnobl
- 2001

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 of a Drinfeld double… (More)

A scheme suitable for describing quantum nonultralocal models including supersymmetric ones is proposed. Braided algebras are generalised to be used through Baxterisation for constructing braided… (More)

- Ladislav Hlavatý
- 2008

Extension of the braid relations to the multiple braided tensor product of algebras that can be used for quantization of nonultralocal models is presented. The Yang– Baxter–type consistency… (More)

- Ladislav Hlavatý
- 2008

We have solved a σ–model in curved background using the fact that the Poisson–Lie T-duality can transform the curved background into the flat one. For finding solution of the flat model we have used… (More)

- Ladislav Hlavatý, Jan Hýbl, Miroslav Turek February
- 2008

Classical equations of motion for three–dimensional σ–models in curved background are solved by a transformation that follows from the Poisson–Lie T-plurality and transform them into the equations in… (More)

- Ladislav Hlavatý
- 2008

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 algebra while the colour… (More)

- Cecilia Albertsson, Ladislav Hlavatý, Libor Šnobl
- 2008

Conditions for the gluing matrix defining consistent boundary conditions of twodimensional nonlinear σ–models are analyzed and reformulated. Transformation properties of the right–invariant fields… (More)

- Ladislav Hlavatý, L. Šnobl
- 2002

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 algebras and assume… (More)