4 papers
Generalized electrical Lie algebras
Arkady Berenstein, Azat Gainutdinov, Vassily Gorbounov
We generalize the electrical Lie algebras originally introduced by Lam and Pylyavskyy in several ways. To each Kac-Moody Lie algebra we associate two types (vertex t…
Electrical networks and data analysis in phylogenetics
V. Gorbounov, A. Kazakov
A classic problem in data analysis is studying the systems of subsets defined by either a similarity or a dissimilarity function on which is either observed directly or derived…
Quantum K--theory of Grassmannians from a Yang-Baxter algebra
Vassily Gorbounov, Christian Korff, Leonardo C. Mihalcea
In an earlier paper, two of the authors defined a -vertex Yang-Baxter algebra (a Hopf algebra) which acts on the sum of the equivariant quantum K-rings of Grassmannians $\mathrm…
Symplectic geometry of electrical networks
Boris Bychkov, Vassily Gorbounov, Lazar Guterman +1
In this paper we relate a well-known in symplectic geometry compactification of the space of symmetric bilinear forms considered as a chart of the Lagrangian Grassmannian to the sp…