Dual Standard Monomial Theoretic Basis and Canonical Basis for Type A

2002/01/07 by K. N. Raghavan, Raghavan, K. N., Parameswaran Sankaran +2
Mathematics · #17B37 #20G05 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:17B37 #msc:20G05

paper · pdf · doi:10.48550/arxiv.math/0201036

19 pages, 5 figures, latex, submitted to Journal of Algebra in 2000

arxiv created 2002/01/07 · openalex publication_date 2002/01/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A unipotent triangular relationship is established between the dual standard monomial theoretic basis and canonical basis for the negative part of the quantized universal enveloping algebra of type A.

Related

• Canonical bases of the modified quantized enveloping algebras of type A₂
• Monomial Bases of Quantized Enveloping Algebras
• History of the canonical basis and crystal basis
• Canonical basis linearity regions arising from quiver representations
• Notes on affine canonical and monomial bases