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math.RA2001
On gradings of matrix algebras and descent theory
S. Caenepeel, S. Dăscălescu, C. Năstăsescu
We classify gradings on matrix algebras by a finite abelian group. A grading is called good if all elementary matrices are homogeneous. For cyclic groups, all gradings on a matrix…
math.QA2001
Co-Frobenius Hopf algebras and the coradical filtration
Nicolas Andruskiewitsch, Sorin Dascalescu
We prove that a Hopf algebra with a finite coradical filtration is co-Frobenius, i. e. there is a non-zero integral on it. As a consequence, we show that algebras of functions on q…