activity
20072024
most citedThe multiplicity of weights in nonprimitive pairs of weights

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

collaborators

6 papers

math.HO2024

A Mathematical Problem-Solving Pipeline (MPSP) to strengthen scaffolding in higher education STEM courses

Rochelle E. Tractenberg, Andrew C. Lee, Rachelle DeCoste

We outline a new tool that can promote coherence within and across higher education mathematics courses by focusing on problem-solving: the Mathematical Problem-Solving Pipeline or…

math.DG2022★ 1 cited

Abelian Factor in 2-step Nilpotent Lie Algebras Constructed from Graphs

Rachelle DeCoste, Lisa DeMeyer, Meera Mainkar +1

We consider real 2-step metric nilpotent Lie algebras associated to graphs with possibly repeated edge labels as constructed by Ray in 2016. We determine how the structure of the e…

math.DG2015

Graphs and Metric 2-step Nilpotent Lie Algebras

Rachelle DeCoste, Lisa DeMeyer, Meera Mainkar

Dani and Mainkar introduced a method for constructing a 2-step nilpotent Lie algebra from a simple directed graph in 2005. There is a natural inner product on…

math.RT2007★ 1 cited

The multiplicity of weights in nonprimitive pairs of weights

Rachelle C. DeCoste

For each type of classical Lie algebra, we list the dominant highest weights for which is not a primitive pair and the weight space has dimension one where…

math.DS2007

Center Manifold and Lie Symmetry Calculations on a Quasi-chemical Model for Growth-death Kinetics in Food

Rachelle DeCoste, Louis Piscitelle

Food scientists at the U.S. Army's Natick Solider Center have developed a model for the lifecyle of the bacteria Staphylococcus aureus in intermediate moisture bread. In this artic…

math.DG2007

Closed Geodesics on Compact Nilmanifolds with Chevalley Rational Structure

Rachelle DeCoste

We continue the study of the distribution of closed geodesics on nilmanifolds constructed from a simply connected 2-step nilpotent Lie group with a left invariant metric and a latt…