Graded Lie algebras of maximal class of type p

Graded Lie Algebras of Maximal Class Ii

We describe the isomorphism classes of infinite-dimensional graded Lie algebras of maximal class over fields of odd characteristic.

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.

Cohomology of Graded Lie Algebras of Maximal Class

It was shown by A. Fialowski that an arbitrary infinite-dimensional N-graded ”filiform type” Lie algebra g= ⊕ ∞ i=1 gi with one-dimensional homogeneous components gi such that [g1, gi] = gi+1,∀i ≥ 2 over a field of zero characteristic is isomorphic to one (and only one) Lie algebra from three given ones: m0, m2, L1, where the Lie algebras m0 and m2 are defined by their structure relations: m0: ...

Graded Radical W Type Lie Algebras I

ON A CLASS OF LIE p-ALGEBRAS

In this paper we study the finite dimensional Lie p-algebras, L splitting on its abelian p-socle, the sum of its minimal abelian p-ideals. In addition, some properties of the Frattini p-subalgebra of L are pointed