RUS  ENG
Full version
JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2018 Volume 14, 103, 19 pp. (Mi sigma1402)
Virtual Crystals and Nakajima Monomials

Ben Salisburya, Travis Scrimshawb

a Department of Mathematics, Central Michigan University, Mount Pleasant, MI 48859, USA
b School of Mathematics and Physics, The University of Queensland, St. Lucia, QLD 4072, Australia

Abstract: 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 $A_n$.

Keywords: crystal; Nakajima monomial; virtualization; PBW basis; Kostant partition.

MSC: 05E10; 17B37

Received: March 28, 2018; in final form September 20, 2018; Published online September 26, 2018

Language: English

DOI: 10.3842/SIGMA.2018.103



Bibliographic databases:
ArXiv: 1707.09638

© Steklov Math. Inst. of RAS, 2024