2 papers
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…