3 papers
math.NT2024
Analogues of Alder-Type Partition Inequalities for Fixed Perimeter Partitions
Ling Chen, Isabelle Hernandez, Zain Shields +1
In a 2016 paper, Straub proved an analogue to Euler's partition identity for partitions with fixed perimeter. Later, Fu and Tang provided a refinement and generalization of Straub'…
math.RA2018
On Degenerations of Lie Superalgebras
María Alejandra Alvarez, Isabel Hernández
We give necessary conditions for the existence of degenerations between two complex Lie superalgebras of dimension . As an application, we study the variety $\mathcal{LS}^{(…
math.RA2017
Degenerations of Jordan Superalgebras
María Alejandra Alvarez, Isabel Hernández, Ivan Kaygorodov
We describe degenerations of three-dimensional Jordan superalgebras over . In particular, we describe all irreducible components in the corresponding varieties.