Coverings of graded pointed Hopf algebras
Copyright policy )Coverings of graded pointed Hopf algebras
We introduce the concept of a covering of a graded pointed Hopf algebra. The theory developed shows that coverings of a bosonized Nichols algebra can be concretely expressed by biproducts using a quotient of the universal coalgebra covering group of the Nichols algebra. If there are enough quadratic relations, the universal coalgebra covering is given by the bosonization by the enveloping group of the underlying rack.
to appear in J. of Algebra
- University of Wisconsin–Oshkosh United States
- DePaul University United States
- University of Wisconsin–Parkside United States
pointed Hopf algebras, coalgebras, Hopf algebras and their applications, Yetter-Drinfeld modules, Mathematics - Rings and Algebras, racks, quivers, Rings and Algebras (math.RA), Mathematics - Quantum Algebra, FOS: Mathematics, Coalgebras and comodules; corings, Quantum Algebra (math.QA), Nichols algebras, universal Hopf coverings
pointed Hopf algebras, coalgebras, Hopf algebras and their applications, Yetter-Drinfeld modules, Mathematics - Rings and Algebras, racks, quivers, Rings and Algebras (math.RA), Mathematics - Quantum Algebra, FOS: Mathematics, Coalgebras and comodules; corings, Quantum Algebra (math.QA), Nichols algebras, universal Hopf coverings
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