Monomial Hopf algebras

By Xiao-Wu Chen, Hua-Lin Huang, Yu Ye, Pu Zhang. 2003

65 citations recorded by the source corpus.

Abstract Let K be a field of characteristic 0 containing all roots of unity. We classified all the Hopf structures on monomial K -coalgebras, or, in dual version, on monomial K -algebras.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/22c256b5bd9c89263f339f155e899db51309d146

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Hui-xiang Chen
2. Julien Bichon
3. G. Carnovale
4. F. van Oystaeyen
5. F. D’Andrea
6. T. Banica
7. Moritz Weber
8. Pierre Tarrago

In Geometry and Topology

1. Hui-xiang Chen
2. Julien Bichon
3. G. Carnovale
4. F. van Oystaeyen
5. F. D’Andrea
6. T. Banica
7. Moritz Weber
8. Amaury Freslon

In Mathematical Physics

1. Julien Bichon
2. G. Carnovale
3. F. van Oystaeyen
4. T. Banica
5. Moritz Weber
6. Amaury Freslon
7. Pierre Tarrago

Citations in the corpus

• THE GREEN RINGS OF THE GENERALIZED TAFT HOPF ALGEBRAS (2012, background): “3 in [6], we have the following structures of Hn,d as algebras.”
• Lazy cohomology: an analogue of the Schur multiplier for arbitrary Hopf algebras (2004, methodology): “The Hopf algebras A(G) have been shown in [10] to be exactly the monomial non semisimple Hopf algebras: see [10] for the precise concept of a monomial Hopf algebra.”
• The Green rings of Taft algebras (2011, background): “om the above examples, we see that the Green ring is much more complicated than the Grothendick ring. (2) The Green rings of generalized Taft algebras and the Green rings of monomial Hopf algebras cf.[6] can be computed in a similar way. However, the computation of the Green ring of the small quantu”