Title

PBW Bases and Marginally Large Tableaux in Types B and C

Authors

Jackson A. Criswell, Central Michigan University
Ben Salisbury, Central Michigan University
Peter Tingley, Loyola University ChicagoFollow

Document Type

Article

Publication Date

3-2019

Publication Title

Canadian Mathematical Bulletin

Volume

62

Issue

1

Pages

37-54

Abstract

We explicitly describe the isomorphism between two combinatorial realizations of Kashiwara’s infinity crystal in types B and C. The first realization is in terms of marginally large tableaux and the other is in terms of Kostant partitions coming from PBW bases. We also discuss a stack notation for Kostant partitions which simplifies that realization.

Comments

Author Posting. © Canadian Mathematical Society 2019. This article is posted here by permission of the CMS for personal use, not for redistribution. The article was published in the Canadian Mathematical Bulletin, 2019, https://doi.org/10.4153/CMB-2017-071-1

Recommended Citation

Criswell, Jackson A.; Salisbury, Ben; and Tingley, Peter. PBW Bases and Marginally Large Tableaux in Types B and C. Canadian Mathematical Bulletin, 62, 1: 37-54, 2019. Retrieved from Loyola eCommons, Mathematics and Statistics: Faculty Publications and Other Works, http://dx.doi.org/10.4153/CMB-2017-071-1

Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.