Virtual Crystals and Nakajima Monomials

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Salisbury, B., Scrimshaw, T.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209854
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Virtual Crystals and Nakajima Monomials / B. Salisbury, T. Scrimshaw // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 73 назв. — англ.

An explicit description of the virtualization map for the (modified) Nakajima monomial model for crystals is given. We give an explicit description of the Lusztig data for modified Nakajima monomials in type Aₙ.