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math.QA2010
On pointed Hopf superalgebras
Nicolás Andruskiewitsch, Iván Angiono, Hiroyuki Yamane
We discuss the relationship between Hopf superalgebras and Hopf algebras. We list the braided vector spaces of diagonal type with generalized root system of super type and give the…
math.QA2010
A presentation by generators and relations of Nichols algebras of diagonal type and convex orders on root systems
Iván Ezequiel Angiono
We obtain a presentation by generators and relations of any Nichols algebra of diagonal type with finite root system. We prove that the defining ideal is finitely generated. The pr…
math.QA2010
Pointed Hopf algebras with standard braiding are generated in degree one
Iván Angiono, Agustín García Iglesias
We show that any finite-dimensional pointed Hopf algebra over an abelian group such that its infinitesimal braiding is of standard type is generated by group-like and skew-prim…