2011/10/13 by Yong Jiang, Jiang, Yong
Mathematics · #14M99 #16G20 #17B37 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:14M99 #msc:16G20 #msc:17B37
paper · pdf · doi:10.48550/arxiv.1110.2937
revised version, 11 pages
openalex publication_date 2011/10/13 · arxiv created 2012/10/29 · arxiv updated 2012/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is known that the set of irreducible components of nilpotent varieties provides a geometric realization of the crystal basis for quantum groups. For each reduced expression of a Weyl group element, Geiß, Leclerc and Schröer has recently given a parametrization of irreducible components of nilpotent varieties in studying cluster algebras. In this paper we show that their parametrization coincides with Lusztig's parametrization of the canonical basis.