Basis of Nichols Braided Lie Algebras

2017/01/10 by Weicai Wu, Jing Wang, Wu, Weicai +2
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1701.02406

openalex publication_date 2017/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Assume that V is a braided vector space with diagonal type. It is shown that a monomial belongs to Nichols braided Lie algebra \mathfrak L(V) if and only if this monomial is connected. A basis of Nichols braided Lie algebra and dimension of Nichols braided Lie algebra of finite Cartan type are obtained.

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