On finite dimensional Nichols algebras of diagonal type
نویسندگان
چکیده
منابع مشابه
Finite dimensional rank 2 Nichols algebras of diagonal type I : Examples
Nichols algebras naturally appear in the classification of finite dimensional pointed Hopf algebras. Assuming only that the base field has characteristic zero several new finite dimensional rank 2 Nichols algebras of diagonal type are listed. Each of them is described in terms of generators and relations. A Poincaré–Birkhoff–Witt basis of all of these Nichols algebras is given and their dimensi...
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In the structure theory of quantized enveloping algebras, the algebra isomorphisms determined by Lusztig led to the first general construction of PBW bases of these algebras. Also, they have important applications to the representation theory of these and related algebras. In the present paper the Drinfel’d double for a class of graded Hopf algebras is investigated. Various quantum algebras, in...
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The paper introduces a new method to determine all rank two Nichols algebras of diagonal type over fields of positive characteristic.
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In the structure theory of quantized enveloping algebras, the algebra isomorphisms determined by Lusztig led to the first general construction of PBW bases of these algebras. Also, they have important applications to the representation theory of these and related algebras. In the present paper the Drinfel’d double for a class of graded Hopf algebras is investigated. Various quantum algebras, in...
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Let $L$ be a finite-dimensional Lie algebra. We say a subalgebra $H$ of $L$ is permutably complemented in $L$ if there is a subalgebra $K$ of $L$ such that $L=H+K$ and $Hcap K=0$. Also, if every subalgebra of $L$ is permutably complemented in $L$, then $L$ is called completely factorisable. In this article, we consider the influence of these concepts on the structure of a Lie algebra, in partic...
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ژورنال
عنوان ژورنال: Bulletin of Mathematical Sciences
سال: 2017
ISSN: 1664-3607,1664-3615
DOI: 10.1007/s13373-017-0113-x