Recognition of division algebras.

DOI10.1016/j.jalgebra.2009.04.026zbMath1184.16054OpenAlexW1981571195MaRDI QIDQ731252

Gabriele Nebe, Allan K. Steel

Publication date: 2 October 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.04.026

zbMATH Keywords

algorithmsmaximal ordersWedderburn decompositionslocal Hasse invariantslocal Schur indicesrational division algebras

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite-dimensional division rings (16K20) Computational aspects of associative rings (general theory) (16Z05) Other algebras and orders, and their zeta and (L)-functions (11R54) Algebras and orders, and their zeta functions (11S45) Orders in separable algebras (16H10)

Related Items (8)

Computation of lattice isomorphisms and the integral matrix similarity problem ⋮ Irreducibility testing of finite nilpotent linear groups. ⋮ Bolytrope orders ⋮ Computing isomorphisms between lattices ⋮ Splitting full matrix algebras over algebraic number fields. ⋮ Identifying the Matrix Ring: Algorithms for Quaternion Algebras and Quadratic Forms ⋮ Decomposing homogeneous modules of finite groups in characteristic zero. ⋮ Computing in arithmetic groups with Voronoï's algorithm.

Cites Work

• Unnamed Item
• On crossed product orders.
• The Schur subgroup of the Brauer group

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