Graded Lie Algebras of Maximal Class Ii
نویسندگان
چکیده
We describe the isomorphism classes of infinite-dimensional graded Lie algebras of maximal class over fields of odd characteristic.
منابع مشابه
Graded Lie Algebras of Maximal Class Iv
We describe the isomorphism classes of certain infinite-dimensional graded Lie algebras of maximal class, generated by an element of weight one and an element of weight two, over fields of odd characteristic.
متن کاملArithmetic Deformation Theory of Lie Algebras
This paper is devoted to deformation theory of graded Lie algebras over Z or Zl with finite dimensional graded pieces. Such deformation problems naturally appear in number theory. In the first part of the paper, we use Schlessinger criteria for functors on Artinian local rings in order to obtain universal deformation rings for deformations of graded Lie algebras and their graded representations...
متن کاملLattice of full soft Lie algebra
In this paper, we study the relation between the soft sets and soft Lie algebras with the lattice theory. We introduce the concepts of the lattice of soft sets, full soft sets and soft Lie algebras and next, we verify some properties of them. We prove that the lattice of the soft sets on a fixed parameter set is isomorphic to the power set of a ...
متن کاملThe Structure of Thin Lie Algebras up to the Second Diamond
Thin Lie algebras are graded Lie algebras L = L ∞ i=1 Li with dimLi ≤ 2 for all i, and satisfying a more stringent but natural narrowness condition modeled on an analogous condition for pro-p groups. The two-dimensional homogeneous components of L, which include L1, are named diamonds. Infinite-dimensional thin Lie algebras with various diamond patterns have been produced, over fields of positi...
متن کاملDEFORMATIONS OF W1(n)⊗A AND MODULAR SEMISIMPLE LIE ALGEBRAS WITH A SOLVABLE MAXIMAL SUBALGEBRA
In one of his last papers, Boris Weisfeiler proved that if modular semisimple Lie algebra possesses a solvable maximal subalgebra which defines in it a long filtration, then associated graded algebra is isomorphic to one constructed from the Zassenhaus algebra tensored with the divided powers algebra. We completely determine such class of algebras, calculating in process low-dimensional cohomol...
متن کامل