activity
20172026
collaborators

6 papers

math.RT2026

Symmetry for the spin highest weight module

Ola Amara-Omari

For an affine Lie algebra of type we get a special set of partitions for the highest weight modules , where , and we also get a some resul…

math.CO2024

Spin Multipartitions

Ola Amara-Omari, Mary Schaps

We conjecture an algorithm to construct spin multipartitions and prove that all the level one Fock spaces using our combinatorics are modules over the quantum enveloping algebra.

math.RT2023

Faces in Crystals of Affine Type A and the Shape of Canonical Basis Elements

Ola Amara-Omari, Ronit Mansour, Mary Schaps

For a dominant integral weight in a Lie algebra of affine type A and rank , and an interval in the residue set , we define the face for the interval to be the…

math.RT2020

Nonrecursive canonical basis computations for low rank Kashiwara crystals of type A

Ola Amara-Omari, Mary Schaps

For symmetric Kashiwara crystals of type and rank , and for the canonical basis elements that we call external, corresponding to weights on the outer skin of the Kashiwara…

math.RT2018

External vertices for crystals of type A

Ola Amara-Omari, Mary Schaps

We show that a vertex in the reduced crystal is i-external for a residue i if the defect is less than the absolute value of the i-component of the hub. We demonstrate the existence…

math.RT2017

External Littelmann paths for crystals of type A

Ola Amara-Omari, Mary Schaps

For the Kashiwara crystal of a highest weight representation of an affine Lie algebra of type A and rank e, with highest weight , there is a labeling by multipartitions and by p…