Hopf quivers
By Claude Cibils, M. Rosso. 2000
75 citations recorded by the source corpus.
We classify graded Hopf algebras structures over path coalgebras, that is over free pointed coalgebras, using Hopf quivers which are analogous to Cayley graphs. 2000 57T05 16W30
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/147b2b0ed76407f90c7dcf6dbd72e96e3e13ea19
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In Algebra and Number Theory
- Xiao-Wu Chen
- Pu Zhang
- Apostolos Beligiannis
- Chrysostomos Psaroudakis
- Nan Gao
- P. Ara
- Julien Bichon
- G. Carnovale
In Geometry and Topology
- Xiao-Wu Chen
- Pu Zhang
- Yu Ye
- Apostolos Beligiannis
- Chrysostomos Psaroudakis
- Nan Gao
- P. Ara
- Julien Bichon
In Mathematical Physics
- Pu Zhang
- Xiao-Wu Chen
- Apostolos Beligiannis
- P. Ara
- Julien Bichon
- G. Carnovale
- Kulumani M. Rangaswamy
Citations in the corpus
- Quiver Hopf algebras (2004, unknown): “For eachnth rootq ∈ k of unity, Cibils and Rosso [7] have defined graded Hopf algebra structurekZn(q) (with length grading) on the path coalgebrakZcn by pli · pmj = qjl ( l + m l ) q pl+mi+j (∗∗) with antipodeS mappingpli to (−1)lq−l(l+1)/2−ilpln−l−i .”
- Monomial Hopf algebras (2003, background): “More recently, Cibils and Rosso [7] introduced the notion of the Hopf quiver of a group with ramification, and then classified all the graded Hopf algebras with length grading on path coalgebras.”