5 papers
Super major index and Thrall's problem
Sam Armon, Joshua P. Swanson
Thrall's problem asks for the Schur decomposition of the higher Lie modules , which are defined using the free Lie algebra and decompose the tensor algebra as a gene…
Extremal subsets and atom-positivity
Sam Armon
Demazure crystals give a combinatorial framework in which to study Demazure modules. They are extremal, in that they satisfy Kashiwara's string property, and they are Demazure atom…
A proof of the conjecture for hook shapes
Sam Armon
A well-known representation-theoretic model for the transformed Macdonald polynomial , where is an integer partition, is given by the Garsia-Haiman modu…
Kohnert's rule for flagged Schur modules
Sam Armon, Sami Assaf, Grant Bowling +1
Flagged Schur modules generalize the irreducible representations of the general linear group under the action of the Borel subalgebra. Their characters include many important gener…
Transition matrices between Young's natural and seminormal representations
Sam Armon, Tom Halverson
We derive a formula for the entries in the change-of-basis matrix between Young's seminormal and natural representations of the symmetric group. These entries are determined as sum…