68 citations · 203 across the 58 of their papers we have counts for
7 papers · 1 filter
On Kostant's weight -multiplicity formula for
Pamela E. Harris, Peter Hollander, Daniel C. Qin +1
Kostant's weight -multiplicity formula is an alternating sum over a finite group known as the Weyl group, whose terms involve the -analog of Kostant's partition function. The…
Weight -multiplicities for representations of the exceptional Lie algebra
Jerrell Cockerham, Melissa Gutiérrez González, Pamela E. Harris +4
Given a simple Lie algebra , Kostant's weight -multiplicity formula is an alternating sum over the Weyl group whose terms involve the -analog of Kostant's parti…
Computing weight -multiplicities for the representations of the simple Lie algebras
Pamela E. Harris, Erik Insko, Anthony Simpson
The multiplicity of a weight in an irreducible representation of a simple Lie algebra with highest weight can be computed via the use of Kostant's weight mul…
The adjoint representation of a Lie algebra and the support of Kostant's weight multiplicity formula
Pamela E. Harris, Erik Insko, Lauren Kelly Williams
Even though weight multiplicity formulas, such as Kostant's formula, exist their computational use is extremely cumbersome. In fact, even in cases when the multiplicity is well und…
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…
Kostant's Weight Multiplicity Formula and the Fibonacci and Lucas Numbers
Kevin Chang, Pamela Harris, Erik Insko
Consider the weight which is the sum of all simple roots of a simple Lie algebra. Using Kostant's weight multiplicity formula we describe and enumerate the contributing terms t…