3 citations · 6 across the 6 of their papers we have counts for
8 papers
A generalized Gelfand pair attached to 3-step nilpotent Lie group
Andrea L. Gallo, Linda V. Saal
Let N be a nilpotent Lie group and K a compact subgroup of the automorphism group Aut(N) of N. It is well-known that if (KnN,N) is a Gelfand pair then N is at most 2-step nilpotent…
On commutative homogeneous vector bundles attached to nilmanifolds
Rocío Díaz Martín, Linda Saal
The notion of Gelfand pair (G, K) can be generalized if we consider homogeneous vector bundles over G/K instead of the homogeneous space G/K and matrix-valued functions instead of…
Some harmonic analysis on commutative nilmanifolds
Andrea L. Gallo, Linda. V. Saal
In this work, we consider a family of Gelfand pairs (in short ) where is a two step nilpotent Lie group, and is the group of orthogonal automorphi…
Matrix spherical analysis on nilmanifolds
Rocío Díaz Martín, Linda Saal
Given a nilpotent Lie group , a compact subgroup of automorphisms of and an irreducible unitary representation of , we study conditions on for the commu…
Explicit fundamental solutions of some second order differential operators on Heisenberg groups
Isolda Cardoso, Linda Saal
Let be natural numbers such that . Let $\FF$ be either $\CC$, the complex numbers field, or $\HH$, the quaternionic division algebra. We consider the Heisenberg grou…
Horizontal submanifolds of groups of Heisenberg type
A. Kaplan, F. Levstein, L. Saal +1
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…