24 citations · 36 across the 4 of their papers we have counts for
4 papers
Twisted cocycles of Lie algebras and corresponding invariant functions
Jiri Hrivnak, Petr Novotny
We consider finite-dimensional complex Lie algebras. Using certain complex parameters we generalize the concept of cohomology cocycles of Lie algebras. A special case is generaliza…
On Discretization of Tori of Compact Simple Lie Groups
Jiri Hrivnak, Jiri Patera
Three types of numerical data are provided for simple Lie groups of any type and rank. This data is indispensable for Fourier-like expansions of multidimensional digital data into…
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…
Solution of Contraction Equations for the Pauli Grading of sl(3,C)
Jiri Hrivnak
We consider the Pauli grading of the Lie algebra sl(3,C) and use a concept of graded contractions to construct non-isomorphic Lie algebras of dimension 8, while preserving the Paul…