Weicai Wu

activity

20122020

most citedOn Nichols (braided) Lie algebras

4 citations · 12 across the 9 of their papers we have counts for

collaborators

9 papers

math.QA2020★ 2 cited

Nichols algebras over classical Weyl groups

Zhengtang Tan, Weicai Wu, Shouchuan Zhang

We show that except in several cases conjugacy classes of classical Weyl groups $W (B_{n})$ and $W (D_{n})$ are of type {\rm D}. We prove that except in three cases Nichols algebras of i…

math.CO2018

The relationship between graphs and Nichols braided Lie algebras

Weicai Wu, Shouchuan Zhang, Zhengtang Tan

In this paper we give the relationship between the connected components of pure generalized Dynkin graphs and Nichols braided Lie algebras.

math.QA2017★ 1 cited

Structures of Nichols (braided) Lie algebras of diagonal type

Weicai Wu, Jing Wang, Shouchuan Zhang +1

Let $V$ be a braided vector space of diagonal type. Let $B (V)$ , $L^{-} (V)$ and $L (V)$ be the Nichols algebra, Nichols Lie algebra and Nichols braided Li…

math.QA2017

Basis of Nichols Braided Lie Algebras

Weicai Wu, Jing Wang, Shouchuan Zhang

Assume that $V$ is a braided vector space with diagonal type. It is shown that a monomial belongs to Nichols braided Lie algebra $L (V)$ if and only if this monomial is co…

math.QA2016★ 3 cited

Finiteness of Nichols Algebras and Nichols (Braided) Lie Algebras

Weicai Wu, Shouchuan Zhang, Yao-Zhong Zhang

It is shown that if $B (V)$ is connected Nichols algebra of diagonal type with $dim V > 1$ , then $dim (L^{-} (V)) = \infty$ $($ resp. $ \dim (\mathfrak L(V)) = \inf…

math.QA2014★ 4 cited

On Nichols (braided) Lie algebras

Weicai Wu, Shouchuan Zhang, Yao-Zhong Zhang

We prove {\rm (i)} Nichols algebra $B (V)$ of vector space $V$ is finite-dimensional if and only if Nichols braided Lie algebra $L (V)$ is finite-dimensional; {\r…

math.QA2014★ 1 cited

Relationship between Nichols braided Lie algebras and Nichols algebras

Weicai Wu, Shouchuan Zhang, Yao-Zhong Zhang

We establish the relationship among Nichols algebras, Nichols braided Lie algebras and Nichols Lie algebras. We prove two results: (i) Nichols algebra $B (V)$ is finite-di…

math.QA2013

Nichols algebras over classical Weyl groups, Fomin-Kirillov algebras and Lyndon basis

Shouchuan Zhang, Weicai Wu, Zhengtang Tan +1

We show that except in several cases conjugacy classes of classical Weyl groups $W (B_{n})$ and $W (D_{n})$ are of type {\rm D}. We prove that except in three cases Nichols algebras of i…

math.NT2012★ 1 cited

Finite dimensional Nichols algebras over finite cyclic groups

Weicai Wu, Shouchuan Zhang, Yao-Zhong Zhang

All finite dimensional Nichols algebras with diagonal type of connected finite dimensional Yetter-Drinfeld modules over finite cyclic group $Z_{n}$ are found. It is proved th…