Open AccessBASIS OF MULTILINEAR PART OF LEIBNIZ ALGEBRAS MANIFOLDS \overbrace{V_1}
Author(s) -
S. P. Mishchenko,
Yu. R. Pestova
Publication year - 2014
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2014-20-3-76-82
Subject(s) - multilinear map , basis (linear algebra) , pure mathematics , mathematics , manifold (fluid mechanics) , construct (python library) , polynomial , identity (music) , base (topology) , algebra over a field , mathematical analysis , computer science , geometry , philosophy , engineering , aesthetics , mechanical engineering , programming language
In the case of trivial characteristic of base eld, Leibniz algebras manifolds dened by the identity x_1(x_2x_3)(x_4x_5)\equiv 0. has almost polynomial growth. In the work we continue research of this manifold, in particular, we construct bases of multilinear parts.