arXiv subjects

F. Levstein

Publications and source records attributed to F. Levstein.

2 recordsLinked to original sources

arXiv2009

Tight Frames for Eigenspaces of the Laplacian on Dual Polar Graphs

We consider $Γ=(X,E)$ a dual polar graph and we give a tight frame on each eigenspace of the Laplacian operator associated to $Γ$. We compute the constants associated to each tight frame and as an application we give a formula for the product in the Norton algebra attached to the eigenspace corresponding to the second largest eigenvalue of the Laplacian.

math.CO↗

arXiv2005

Horizontal submanifolds of groups of Heisenberg type

We study maximal horizontal subgroups of Carnot groups of Heisenberg type. We classify those of dimension half of that of the canonical distribution ("lagrangians") and illustrate some notable ones of small dimension. An infinitesimal classification of the arbitrary maximal horizontal submanifolds follows as a consequence.

math.DG↗