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Rekha Biswal, Laval University, Affine structure and tableaux models for E_7 crystals

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October 22, 2018 | 3:00 pm - 4:00 pm EDT

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A Kirillov-Reshetikhin(KR) module is a certain finite dimensional U_q'(\mathfrak{g}) module that is determined by its Drinfeld polynomials. KR modules are an important class of modules for quantum groups with many applications to Mathematical physics. KR modules are conjectured to have many nice properties, one of which is the existence of a crystal basis. In this talk, we will give a unique affine crystal structure for the type E_7^1 KR crystals corresponding to the multiples of fundamental weights s\Lambda_7 for all s \geq 1. This is based on ongoing joint work with Travis Scrimshaw.



October 22, 2018

3:00 pm - 4:00 pm
Event Category:
SAS 4201