Dmitry V. Millionschikov

activity

20092017

most citedComplex structures on nilpotent Lie algebras and descending central series

8 citations · 17 across the 6 of their papers we have counts for

collaborators

6 papers

math.RA2017

Lie algebras of slow growth and Klein-Gordon equation

Dmitry V. Millionschikov

We discuss the notion of characteristic Lie algebra of a hyperbolic PDE. The integrability of a hyperbolic PDE is closely related to the properties of the corresponding characteris…

math.RT2017

Graded Thread Modules over the Positive Part of the Witt (Virasoro) Algebra

Dmitry V. Millionschikov

We study $Z$ -graded thread $W^{+}$ -modules $V = \oplus_{i} V_{i}, dim V_{i} = 1, - \infty \leq k < i < N \leq + \infty, dim V_{i} = 0, otherwise,$ over the positive par…

math.RA2017★ 8 cited

Naturally graded Lie algebras (Carnot algebras) of slow growth

Dmitry V. Millionschikov

A nilpotent Lie algebra $g$ is said to be naturally graded if it is isomorphic to its associated graded Lie algebra $gr g$ with respect to filtration b…

math.RA2014★ 8 cited

Complex structures on nilpotent Lie algebras and descending central series

Dmitry Millionschikov

We study the algebraic constraints on the structure of nilpotent Lie algebra $g$ , which arise because of the presence of an integrable complex structure $J$ . Particular at…

math.RT2014

Singular Virasoro vectors and Lie algebra cohomology

Dmitry Millionschikov

We present an explicit formula for a new family of Virasoro singular vectors. As a corrolary we get formulas for differentials of Feigin-Fuchs-Rocha-Carridi-Wallach resolution of t…

math.RA2009★ 1 cited

The Variety of Lie algebras of maximal class

Dmitry V. Millionschikov

We present an explicit description of the affine variety of Lie algebras of the maximal class (filiform Lie algebras): the formulas of polynomial equations that determine this vari…