57 citations
6 papers
Graded contractions of the Pauli graded sl(3,C)
J. Hrivnak, P. Novotny, J. Patera +1
The Lie algebra $sl(3,\C)$ is considered in the basis of generalized Pauli matrices. Corresponding grading is the Pauli grading here. It is one of the four gradings of the algebra…
Quantum Behavior of Deterministic Systems with Information Loss. Path Integral Approach
M. Blasone, P. Jizba, H. Kleinert
't Hooft's derivation of quantum from classical physics is analyzed by means of the classical path integral of Gozzi et al.. It is shown how the key element of this procedure - the…
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…
Path Integral Approach to 't Hooft's Derivation of Quantum from Classical Physics
Massimo Blasone, Petr Jizba, Hagen Kleinert
We present a path-integral formulation of 't Hooft's derivation of quantum from classical physics. The crucial ingredient of this formulation is Gozzi et al.'s supersymmetric path…
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…