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- Title
Group-Graded By-Product Construction and Group Double Centralizer Properties.
- Authors
Zhang, Senlin; Wang, Shuanhong
- Abstract
For a group π with unit e, we introduce and study the notion of a π -graded Hopf algebra. Then we introduce and construct a new braided monoidal category H H e YD π over a π -graded Hopf algebra H. We introduce the notion of a π -double centralizer property and investigate this property by studying a braided π -graded Hopf algebra U (g l n (V)) ⋉ π H , where V is an n-dimensional vector space in H H e YD π and U (g l n (V)) is the braided universal enveloping algebra of g l n (V) which is not the usual Hopf algebra. Finally, some examples and special cases are given.
- Subjects
HOPF algebras; UNIVERSAL algebra; VECTOR spaces
- Publication
Mathematics (2227-7390), 2022, Vol 10, Issue 16, p2943
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math10162943