4 citations · 12 across the 9 of their papers we have counts for
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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 and are of type {\rm D}. We prove that except in three cases Nichols algebras of i…
Structures of Nichols (braided) Lie algebras of diagonal type
Weicai Wu, Jing Wang, Shouchuan Zhang +1
Let be a braided vector space of diagonal type. Let , and be the Nichols algebra, Nichols Lie algebra and Nichols braided Li…
Basis of Nichols Braided Lie Algebras
Weicai Wu, Jing Wang, Shouchuan Zhang
Assume that is a braided vector space with diagonal type. It is shown that a monomial belongs to Nichols braided Lie algebra if and only if this monomial is co…
Finiteness of Nichols Algebras and Nichols (Braided) Lie Algebras
Weicai Wu, Shouchuan Zhang, Yao-Zhong Zhang
It is shown that if is connected Nichols algebra of diagonal type with , then resp. $ \dim (\mathfrak L(V)) = \inf…
On Nichols (braided) Lie algebras
Weicai Wu, Shouchuan Zhang, Yao-Zhong Zhang
We prove {\rm (i)} Nichols algebra of vector space is finite-dimensional if and only if Nichols braided Lie algebra is finite-dimensional; {\r…
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 is finite-di…
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 and are of type {\rm D}. We prove that except in three cases Nichols algebras of i…