57 citations · 126 across the 4 of their papers we have counts for
8 papers
Description of surfaces associated with Grassmannian sigma models on Minkowski space
A. M. Grundland, L. Snobl
We construct and investigate smooth orientable surfaces in su(N) algebras. The structural equations of surfaces associated with Grassmannian sigma models on Minkowski space are stu…
A class of solvable Lie algebras and their Casimir Invariants
L. Snobl, P. Winternitz
A nilpotent Lie algebra n_{n,1} with an (n-1) dimensional Abelian ideal is studied. All indecomposable solvable Lie algebras with n_{n,1} as their nilradical are obtained. Their di…
Description of surfaces associated with sigma models on Minkowski space
A. M. Grundland, L. Snobl
The objective of this paper is to construct and investigate smooth orientable surfaces in by analytical methods. The structural equations of surfaces in connection with…
On modular spaces of semisimple Drinfeld doubles
L. Snobl
We construct modular spaces of all 6-dimensional real semisimple Drinfeld doubles, i.e. the sets of all possible decompositions of the Lie algebra of the Drinfeld double into Manin…
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…