Canonical bases of the modified quantized enveloping algebras of type A₂

2012/08/28 by Weideng Cui, Cui, Weideng
Mathematics · #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

paper · pdf · doi:10.48550/arxiv.1208.5531

we give an explicit description of all elements of the canonical basis of modified quantized algebras for type A_2

openalex publication_date 2012/08/28 · arxiv created 2014/06/23 · arxiv updated 2014/06/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The modified quantized enveloping algebra U has a remarkable canonical basis, which was introduced by Lusztig. In this paper, we give an explicit description of all elements of the canonical basis of U for type A₂.

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