activity
20072019
most citedHolonomy representations which are a diagonal direct sum of two faithful representations

2 citations · 5 across the 7 of their papers we have counts for

collaborators

7 papers

math.CT2019

Monoidal Adjunctions - Linearity and Duality

Thomas H. M. Krantz

We explain two related constructions on the data of two monoidal symmetric closed categories and and monoidal functors a…

math.RT2012

Infinitesimal semisimple symplectic extrinsic symmetric spaces

Thomas Krantz

We study infinitesimal semi-simple extrinsic symmetric spaces and give a classification in the symplectic case.

math.SG2009

Extrinsically Immersed Symplectic Symmetric Spaces

Tom Krantz, Lorenz J. Schwachöfer

Let $(V, \Om)$ be a symplectic vector space and let $ϕ: M \ra V$ be a symplectic immersion. We show that is (locally) an extrinsic symplectic symmetric space (e.s.…

math.RT2009★ 1 cited

Canonical Torsion-Free Connections on the Total Space of the Tangent and the Cotangent Bundle

Lionel Bérard Bergery, Thomas Krantz

In this paper we define a class of torsion-free connections on the total space of the (co-)tangent bundle over a base-manifold with a connection and for which tangent spaces to the…

math.DG2008★ 2 cited

On the Holonomy of Kaluza-Klein metrics

Thomas Krantz

We investigate Kaluza-Klein metrics with a recurrent light-like vector field over a pseudo-Riemannian manifold.

math.RT2007

Representations admitting two pairs of supplementary invariant spaces

Lionel Bérard Bergery, Thomas Krantz

We examine the lattice generated by two pairs of supplementary vector subspaces of a finite-dimensional vector space by intersection and sum, with the aim of applying the results t…