activity
20072021
most citedOn (alpha,beta,gamma)-derivations of Lie algebras and corresponding invariant functions

47 citations · 54 across the 6 of their papers we have counts for

collaborators

6 papers

cs.PL2021★ 1 cited

On Lexicographic Proof Rules for Probabilistic Termination

Krishnendu Chatterjee, Ehsan Kafshdar Goharshady, Petr Novotný +2

We consider the almost-sure (a.s.) termination problem for probabilistic programs, which are a stochastic extension of classical imperative programs. Lexicographic ranking function…

cs.AI2021★ 1 cited

Efficient Strategy Synthesis for MDPs with Resource Constraints

František Blahoudek, Petr Novotný, Melkior Ornik +2

We consider qualitative strategy synthesis for the formalism called consumption Markov decision processes. This formalism can model dynamics of an agents that operates under resour…

cs.FL2020

Qualitative Controller Synthesis for Consumption Markov Decision Processes

František Blahoudek, Tomáš Brázdil, Petr Novotný +3

Consumption Markov Decision Processes (CMDPs) are probabilistic decision-making models of resource-constrained systems. In a CMDP, the controller possesses a certain amount of a cr…

math.RT2013★ 4 cited

Graded contractions of the Gell-Mann graded sl(3,C)

Jiří Hrivnák, Petr Novotný

The Gell-Mann grading, one of the four gradings of sl(3,C) that cannot be further refined, is considered as the initial grading for the graded contraction procedure. Using the symm…

math-ph2008★ 47 cited

On (alpha,beta,gamma)-derivations of Lie algebras and corresponding invariant functions

Petr Novotný, Jiří Hrivnák

We consider finite-dimensional complex Lie algebras. We generalize the concept of Lie derivations via certain complex parameters and obtain various Lie and Jordan operator algebras…

math.GR2007★ 1 cited

On Orbits of the Ring under the Action of the Group

Petr Novotný, Jiří Hrivnák

We consider the action of the finite matrix group on the ring . We determine orbits of this action for n arbitrary natural number. It is a generalization of the…