R. Stanton

activity

20022019

most citedThe image of the heat kernel transform on Riemannian symmetric spaces of the noncompact type

11 citations · 15 across the 7 of their papers we have counts for

collaborators

9 papers

math.RT2019

Extensions of real bounded symmetric domains

Gestur Olafsson, Robert J. Stanton

For a real bounded symmetric domain, G/K, we construct various natural enlargements to which several aspects of harmonic analysis on G/K and G have extensions. Our starting point i…

math.RT2018

Pure spinors and a construction of the $E_{*}$ -Lie algebras

Marcus Slupinski, Robert Stanton

Let $(V, g)$ be a $2 n$ -dimensional hyperbolic space and $C (V, g)$ its Clifford algebra. $C (V, g)$ has a $Z$ -grading, $C^{k}$ , and an algebra isomorphism $C (V, g) ≅ E n d (S)$ , $…

math.RT2018

Holomorphic torsion and geometric zeta functions for certain Hermitian locally symmetric manifolds

Henri Moscovici, Robert J. Stanton, Jan Frahm

We give a dynamical description, in terms of a Weil-type zeta function, to the holomorphic torsion with coefficients for certain compact Hermitian locally symmetric manifolds, whos…

math.RT2012

The geometry of special symplectic representations

Marcus J. Slupinski, Robert J. Stanton

We show there is a class of symplectic Lie algebra representations over any field of characteristic not 2 or 3 that have many of the exceptional algebraic and geometric properties…

math.SG2009

The special symplectic structure of binary cubics

Marcus Slupinski, Robert J. Stanton

Let $k$ be a field of characteristic not 2 or 3. Let $V$ be the $k$ -space of binary cubic polynomials. The natural symplectic structure on $k^{2}$ promotes to a symplectic structure…

math.RT2009

The Bochner measure and holomorphic extension of elementary spherical functions

Bernhard Kroetz, Ray Kunze, Robert J. Stanton

In this paper we determine the Bochner measure for spherical functions on a semi-simple Lie group of rank one.