11 citations · 39 across the 13 of their papers we have counts for
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Geodesic multiplication as a tool for classical and quantum gravity
Piret Kuusk, Eugen Paal
Algebraic systems called the local geodesic loops and their tangent Akivis algebras are considered. Their possible role in theory of gravity is considered. Quantum conditions for t…
Moufang symmetry VI. Reductivity and hidden associativity in Mal'tsev algebras
Eugen Paal
Reductivity in the Ma'tsev algebras is inquired. This property relates the Mal'tsev algebras to the general Lie triple systems.
Moufang symmetry X. Generalized Lie and Maurer-Cartan equations of continuous Moufang transformations
Eugen Paal
The differential equations for a continuous birepresentation of a local analytic Moufang loop are established. The commutation relations for the infinitesimal operators of the repr…
Moufang symmetry VII. Moufang transformations
Eugen Paal
Concept of a birepresentation for the Moufang loops is elaborated.
Moufang symmetry VIII. Reconstruction of Moufang loops
Eugen Paal
Reconstruction theorem for the Moufang loops is proved.
2D binary operadic Lax representation for harmonic oscillator
Eugen Paal, Jyri Virkepu
It is explained how the time evolution of operadic variables may be introduced by using the operadic Lax equation. As an example, a 2-dimensional binary operadic Lax representation…