2 citations · 2 across the 2 of their papers we have counts for
5 papers
Spencer delta-cohomology, restrictions, characteristics and involutive symbolic PDEs
Boris Kruglikov, Valentin Lychagin
We generalize the notion of involutivity to systems of differential equations of different orders and show that the classical results due to Guillemin and Quillen relating involuti…
On the Blaschke conjecture for 3-webs
Vladislav V. Goldberg, Valentin V. Lychagin
We find relative differential invariants of orders eight and nine for a planar nonparallelizable 3-web such that their vanishing is necessary and sufficient for a 3-web to be linea…
Linearizability of d-webs, d \geq 4, on two-dimensional manifolds
Maks A. Akivis, Vladislav V. Goldberg, Valentin V. Lychagin
We find d - 2 relative differential invariants for a d-web, d \geq 4, on a two-dimensional manifold and prove that their vanishing is necessary and sufficient for a d-web to be lin…
The categorical theory of relations and quantizations
Per K. Jakobsen, Valentin Lychagin
In this paper we develope a categorical theory of relations and use this formulation to define the notion of quantization for relations. Categories of relations are defined in the…
Calculus and Quantizations over Hopf algebras
Valentin Lychagin
In this paper we outline an approach to calculus over quasitriangular Hopf algebras. We study differential operators in the framework of monoidal categories equipped with a braidin…