3 papers
math.NT2014
Generalizing Zeckendorf's Theorem: The Kentucky Sequence
Minerva Catral, Pari Ford, Pamela Harris +2
By Zeckendorf's theorem, an equivalent definition of the Fibonacci sequence (appropriately normalized) is that it is the unique sequence of increasing integers such that every posi…
math.RA2014
A new characterization of the exceptional Lie algebras
Pamela Harris, Erik Insko
For a simple Lie algebra, over , we consider the weight which is the sum of all simple roots and denote it . We formally use Kostant's weight multiplicity form…
math.RT2012
Sums of squares of the Littlewood-Richardson coefficients and GL(n)-harmonic polynomials
Pamela E. Harris, Jeb F. Willenbring
We consider the example from invariant theory concerning the conjugation action of the general linear group on several copies of the matrices, and examine a symmetric…