3 citations · 3 across the 12 of their papers we have counts for
12 papers
The Perimeter Winternitz Theorem in a Triangle
Allan Berele, Stefan Catoiu
A variable line through the centroid G of a triangle divides the triangle into two parts each of whose lengths as a fraction of the perimeter fills a closed interval [m,1-m], with…
Invariants of Superalgebras as Complex Integrals
Allan Berele
In [A. Berele, Computing super matrix invariants, {\it Advances in Applied Math. \bf48} (2012), 273--289.] we defined integrals that approximated the Poincaré series of the invaria…
Polynomial identities for quivers via incidence algebras
Allan Berele, Giovanni Cerulli Irelli, Javier De Loera Chávez +1
We show that the path algebra of a quiver satisfies the same polynomial identities of an algebra of matrices, if any. In particular, the algebra of nxn matrices is PI-equivalent to…
Integrality and Specialized Symmetric Functions
Allan Berele
Given in the field , there is a weighted trace function given by . We prove that satisfies trace identi…
Two-Term Polynomial Identities
Allan Berele, Peter Danchev, Bridget Eileen Tenner
We study algebras satisfying a two-term multilinear identity, namely one of the form , where is a parameter from the base field. We…
Denominators for One Variable Poincaré Series of Generic Matrices
Allan Berele
We study the Poincaré series of the mixed and pure trace rings of generic matrices. These series are known to be rational functions. We obtain an explicit formula in lowest terms i…