29 citations · 203 across the 30 of their papers we have counts for
4 papers · 1 filter
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…
-flows Generated by the Curl of a Vector Potential \& Maurer-Cartan Equations
Oğul Esen, Partha Guha, Hasan Gümral
We examine flows admitting vector identity for a multiplier and a potential field $\mathbf{…
Bicocycle Double Cross Constructions
O. Esen, P. Guha, S. Sütlü
We introduce the notion of a bicocycle double cross product (resp. sum) Lie group (resp. Lie algebra), and a bicocycle double cross product bialgebra, generalizing the unified prod…
Tulczyjew's Triplet for Lie Groups III : Higher Order Dynamics and Reductions for Iterated Bundles
Oğul Esen, Hasan Gümral, Serkan Sütlü
Given a Lie group , we elaborate the dynamics on and , which is given by a Hamiltonian, as well as the dynamics on the Tulczyjew symplectic space , which…