Positivity of Canonical Bases under Comultiplication

2015/11/08 by Zhaobing Fan, Yiqiang Li, Fan, Zhaobing +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1511.02434

openalex publication_date 2015/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show the positivity of the canonical basis for a modified quantum affine \mathfraksl_n under the comultiplication. Moreover, we establish the positivity of the i-canonical basis in [LW15] with respect to the coideal subalgebra structure.

Citations

• Quantum affine \frakgl_n via Hecke algebras

Cited by

• Positivity properties of canonical bases

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