4 papers
Cohomology of graded Lie algebras of maximal class
Alice Fialowski, Dmitri V. Millionschikov
We compute the cohomology with trivial coefficients of two graded infinite-dimensional Lie algebras of maximal class, give explicit formulas for their representative cocycles. Also…
Deformations of graded Lie algebras and symplectic structures
Dmitri V. Millionschikov
We study symplectic structures on filiform Lie algebras -- nilpotent Lie algebras of the maximal length of the descending central sequence. In the present article we classify the L…
Graded filiform Lie algebras and symplectic nilmanifolds
Dmitri V. Millionschikov
We study symplectic (contact) structures on nilmanifolds that correspond to the filiform Lie algebras - nilpotent Lie algebras of the maximal length of the descending central seque…
Cohomology with local coefficients of solvmanifolds and Morse-Novikov theory
Dmitri V. Millionschikov
We study the cohomology of the deRham complex of a compact solvmanifold with a deformed differential …