Titlebook: Smooth Quasigroups and Loops; Lev V. Sabinin Book 1999 Springer Science+Business Media Dordrecht 1999 Algebraic structure.Group theory.Vol

使成核

Spirometry

Infinitesimal Theory of Smooth Loopsoriginal approach used by S. Lie for Lie groups (with modifications), since, in order to understand the principal notions, one has to return to origins on the basis of differential equations. the differential equations of smooth loops are introduced and their infinitesimal theory is constructed gene

arrogant

ARENA

营养

Smooth Hyporeductive and Pseudoreductive Loopsesimal theory (similar to Lie group theory) if one associates with the loop certain binaryternary tangent algebra with identities, in the first case a Bol algebra, in the second case a triple Lie algebra. But it is possible to consider a more general case of hyporeductive loops [L.V. Sabinin 90b,c,d

烦忧

Connotation

巨大没有

mitten

Geometry of Smooth Bol and Moufang Loopsfold with zero curvature (with absolute parallelism). Further, the techniques of differential geometry is used to prove the main structure theorem in the theory of local analytic Bol loops. the affine connection in the question is a generalization of the Cartan connection with zero curvature on Lie

Enzyme

Smooth Hyporeductive and Pseudoreductive Loopsome linear algebra equipped with two binary and one ternary operations and the system of identities (so called .). Such an algebra is the generalization of Bol algebra and triple Lie algebra, both. In this Chapter we shall construct the infinitesimal theory of smooth hyporeductive and pseudoreductive loops.