Ola Amara-Omari

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20172026

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math.RT2026

Symmetry for the spin highest weight module $V (Λ_{n})$

Ola Amara-Omari

For an affine Lie algebra $g$ of type $A_{2 n}^{(2)}$ we get a special set of partitions for the highest weight modules $V (Λ)$ , where $Λ = Λ_{n}$ , and we also get a some resul…

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 $Λ$ in a Lie algebra of affine type A and rank $e$ , and an interval $I_{0}$ in the residue set $I$ , we define the face for the interval $I_{0}$ 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 $A$ and rank $e = 2$ , 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 $Λ$ , there is a labeling by multipartitions and by p…

Symmetry for the spin highest weight module V(Λn​)

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

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

External vertices for crystals of type A

External Littelmann paths for crystals of type A

Symmetry for the spin highest weight module $V (Λ_{n})$