Finding maximal orders in semisimple algebras over \(\mathbb{Q}\)

DOI10.1007/BF01271370zbMath0792.16020OpenAlexW47614929MaRDI QIDQ1312180

Gábor Ivanyos, Lajos Rónyai

Publication date: 7 August 1994

Published in: Computational Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01271370

zbMATH Keywords

group ringsirreducible representationssemisimple algebraalgebraic number fieldhereditary ordersmaximal orderfactoring polynomials over finite fieldspolynomial time ff-algorithm

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Symbolic computation and algebraic computation (68W30) Ordinary representations and characters (20C15) Number-theoretic algorithms; complexity (11Y16) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Algebraic number theory computations (11Y40) Computational aspects of associative rings (general theory) (16Z05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Other algebras and orders, and their zeta and (L)-functions (11R54)

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Cites Work

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• Algorithmic properties of maximal orders in simple algebras over \(\mathbb{Q}\)
• Computing the structure of finite algebras
• Two Remarks About Hereditary Orders
• Hereditary Orders

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