Note on derivative Moufang-Noether currents

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.

Moufang transformations and Noether currents

The 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.

ar X iv : h ep - t h / 95 10 18 9 v 1 2 5 O ct 1 99 5 revised version q - Virasoro Operators from an Analogue of the Noether Currents 1

We discuss the q-Virasoro algebra based on the arguments of the Noether currents in a two-dimensional massless fermion theory as well as in a three-dimensional nonrelativistic one. Some notes on the q-differential operator realization and the central extension are also included.

On decomposition of commutative Moufang groupoids

X iv :0 80 3. 04 72 v1 [ m at h. R A ] 4 M ar 2 00 8 On decomposition of commutative Moufang groupoids B.V.Novikov It is well-known that the multiplicative groupoid of an alternative/Jordan algebra satisfies Moufang identities [1, 4]. Therefore it seems interesting to study the structure of such groupoids. In this note we apply to Moufang groupoids an approach which is widespread in Semigroup T...

A Note on Moufang-lie Rings