Combinatorial realizations of crystals via torus actions on quiver varieties

TY - JOUR

T1 - Combinatorial realizations of crystals via torus actions on quiver varieties

AU - Sam, Steven V.

AU - Tingley, Peter

N1 - Let V( λ) be a highest-weight representation of a symmetric Kac-Moody algebra, and let B( λ) be its crystal. There is a geometric realization of B( λ) using Nakajima's quiver varieties. In many particular cases one can also realize B( λ) by elementary combinatorial methods.

PY - 2014/3/1

Y1 - 2014/3/1

UR - https://link.springer.com/content/pdf/10.1007%2Fs10801-013-0448-7.pdf

U2 - 10.1007/s10801-013-0448-7

DO - 10.1007/s10801-013-0448-7

M3 - Article

VL - 39

JO - Journal of Algebraic Combinatorics

JF - Journal of Algebraic Combinatorics

IS - 2

ER -