3 papers
math-ph2025
On Geometry of Dissipation in Multiscale Dynamics and Thermodynamics
Begüm Ateşli, Oğul Esen, Miroslav Grmela +1
This manuscript introduces novel approaches to three phenomena. First, we extend the algebraic formulation of kinetic theory within the contact framework by making explicit the gau…
math.DG2025
On Product Lie Algebroids, and Collective Motion
Begüm Ateşli, Oğul Esen, Serkan Sütlü
This work explores the geometrical/algebraic framework of Lie algebroids, with a specific focus on the decoupling and coupling phenomena within the bicocycle double cross product r…
math.RA2021
Cohomologies and generalized derivation extensions of -Lie algebras
B. Ateşli, O. Esen, S. Sütlü
A cohomology theory, associated to a -Lie algebra and a representation space of it, is introduced. It is observed that this cohomology theory is qualified to encode the generali…