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

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Showing 2017Show all

3 papers · 1 filter

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…