A note on Moufang-Lie rings

A Note on Moufang-lie Rings

Note on Moufang-Noether currents

The derivative Noether currents generated by continuous Moufang tranformations are constructed and their equal-time commutators are found. The corresponding charge algebra turns out to be a birepresentation of the tangent Mal’ltsev algebra of an analytic Moufang loop.

Note on derivative Moufang-Noether currents

The derivative Noether currents generated by continuous Moufang tranformations are constructed and their equal-time commutators are found. The corresponding charge algebra turns out to be a birepresentation of the tangent Mal’ltsev algebra of an analytic Moufang loop.

A Note on Lie Groups

In this note we present two proofs of Theorems A and B ; one proof uses differential forms, the other, which is somewhat more elementary, is based on differential geometry. Let then G be a real connected compact Lie group and assume that the fundamental group of G is infinite. We have to prove that G is not semi-simple. We note that for compact groups "semi-simple" means that the center of G is...

Moufang Loops and Generalized Lie-cartan Theorem *

Generalized Lie-Cartan theorem for linear birepresentations of an analytic Moufang loop is considered. The commutation relations of the generators of the birepresentation are found. In particular, the Lie algebra of the multiplication group of the birepresentation is explicitly given. 2000 MSC: 20N05, 17D10, 20G05 Dedicated to Maks A. Akivis on the occasion of his 85th birthday and 65 years of ...