571 citations
- Virginia Commonwealth UniversityUS4 papers
- Brigham Young UniversityUS3 papers
- Henan Normal UniversityCN3 papers
- TRIUMFCA3 papers
- University of British ColumbiaCA3 papers
- Canadian Institute for Advanced ResearchCA2 papers
- Los Alamos National LaboratoryUS2 papers
- McMaster UniversityCA2 papers
- Carleton UniversityCA1 paper
- Donghua UniversityCN1 paper
- Indraprastha Institute of Information Technology DelhiIN1 paper
- Industrial Research Limited1 paper
24 papers
On the cohomology of Lie algebras associated with graphs
Marco Aldi, Andrew Butler, Jordan Gardiner +3
We describe a canonical decomposition of the cohomology of the Dani-Mainkar metabelian Lie algebras associated with graphs. As applications, we obtain explicit formulas for the thi…
A note on the shifted Courant-Nijenhuis torsion
Marco Aldi, Sergio Da Silva, Daniele Grandini
We characterize the vanishing of the shifted Courant-Nijenhuis torsion as the strongest tensorial integrability condition that can be imposed on a skew-symmetric endomorphism of th…
Gröbner geometry for regular nilpotent Hessenberg Schubert cells
Mike Cummings, Sergio Da Silva, Megumi Harada +1
A regular nilpotent Hessenberg Schubert cell is the intersection of a regular nilpotent Hessenberg variety with a Schubert cell. In this paper, we describe a set of minimal generat…
Deconstructing experimental decay energy spectra: the O case
Pierre Nzabahimana, Thomas Redpath, Thomas Baumann +3
In nuclear reaction experiments, the measured decay energy spectra can give insights into the shell structure of decaying systems. However, extracting the underlying physics from t…
Geometric vertex decomposition, Gröbner bases, and Frobenius splittings for regular nilpotent Hessenberg varieties
Sergio Da Silva, Megumi Harada
We initiate a study of the Gröbner geometry of local defining ideals of Hessenberg varieties by studying the special case of regular nilpotent Hessenberg varieties in Lie type A, a…
Polynomial Structures in Generalized Geometry
Marco Aldi, Daniele Grandini
On the generalized tangent bundle of a smooth manifold, we study skew-symmetric endomorphism satisfying an arbitrary polynomial equation with real constant coefficients. We study t…