JOURNAL ARTICLE
Semisimple finite-dimensional Hopf algebras
Year: 2007 Journal: Sbornik Mathematics Vol: 198 (9)Pages: 1221-1245 Publisher: IOP Publishing
Abstract
The finite-dimensional semisimple Hopf algebras over an algebraically closed field are classified under the assumption that the algebra has a unique irreducible representation of dimension greater than 1. Bibliography: 9 titles.
Keywords:
Hopf algebra Mathematics Pure mathematics Algebra over a field Quasitriangular Hopf algebra Division algebra Algebra representation
Metrics
16
Cited By
3.52
FWCI (Field Weighted Citation Impact)
4
Refs
0.90
Citation Normalized Percentile
Is in top 1%
Is in top 10%
Citation History
Topics
Advanced Topics in Algebra
Physical Sciences → Mathematics → Algebra and Number Theory
Algebraic structures and combinatorial models
Physical Sciences → Mathematics → Geometry and Topology
Matrix Theory and Algorithms
Physical Sciences → Computer Science → Computational Theory and Mathematics
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DISSERTATION
Studies of finite-dimensional semisimple Hopf algebras
University: University of Southern California Digital Library Year: 2015
BOOK-CHAPTER
Dual Algebras of Some Semisimple Finite-dimensional Hopf Algebras
Birkhäuser Basel eBooks Year: 2008 Pages: 65-85