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4 papers · 1 filter
Representation dimension of extensions of hereditary algebras
Manuel Saorin
We show that if H is a hereditary finite dimensional algebra, M is a finitely generated H-module and B is a semisimple subalgebra of the endomorphism algebra of M, then the represe…
The gap between the Schur group and the subgroup generated by cyclic cyclotomic algebras
Allen Herman, Gabriela Olteanu, Angel del Rio
Let be an abelian extension of the rationals. Let be the Schur group of and let be the subgroup of generated by classes containing cyclic cyclotomic a…
The Schur group of an abelian number field
Allen Herman, Gabriela Olteanu, Angel del Rio
We characterize the maximum -local index of a Schur algebra over an abelian number field in terms of global information determined by the field , for an arbitrary rat…
Group algebras of Kleinian type and groups of units
Gabriela Olteanu, Angel del Rio
The algebras of Kleinian type are finite dimensional semisimple rational algebras such that the group of units of an order in is commensurable with a direct product of Klei…