16 citations · 64 across the 28 of their papers we have counts for
33 papers
Lie algebras attached to Clifford modules and simple graded Lie algebras
Kenro Furutani, Mauricio Godoy Molina, Irina Markina +2
We study possible cases of complex simple graded Lie algebras of depth 2, which are the Tanaka prolongations of pseudo -type Lie algebras arising through representation of Cliff…
Rigidity of 2-step Carnot groups
Mauricio Godoy Molina, Boris Kruglikov, Irina Markina +1
In the present paper we study the rigidity of 2-step Carnot groups, or equivalently, of graded 2-step nilpotent Lie algebras. We prove the alternative that depending on bi-dimensio…
Combinatorial description of jumps in spectral networks
Anastasia Frolova, Alexander Vasil'ev
We describe a graph parametrization of rational quadratic differentials with presence of a simple pole, whose critical trajectories form a network depending on parameters focusing…
Slit holomorphic stochastic flows and Gaussian free field
Georgy Ivanov, Nam-Gyu Kang, Alexander Vasil'ev
It was realized recently that the chordal, radial and dipolar SLEs are special cases of a general slit holomorphic stochastic flow. We characterize those slit holomorphic stochasti…
Coupling of Gaussian free field with general slit SLE
Alexey Tochin, Alexander Vasil'ev
We consider a coupling of the Gaussian free field with slit holomorphic stochastic flows, called ()-SLE, which contains known SLE processes (chordal, radial, and dipolar) as p…
Free nilpotent and -type Lie algebras. Combinatorial and orthogonal designs
Kenro Furutani, Irina Markina, Alexander Vasil'ev
The aim of our paper is to construct pseudo -type algebras from the covering free nilpotent two-step Lie algebra as the quotient algebra by an ideal. We propose an explicit algo…