Unramified division algebras do not always contain Azumaya maximal orders.

DOI10.1007/s00222-013-0479-7zbMath1305.16013arXiv1209.2216OpenAlexW1980472084MaRDI QIDQ398672

Benjamin Antieau, Ben Williams

Publication date: 15 August 2014

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.2216

zbMATH Keywords

Brauer groupsmaximal ordersAzumaya algebrasregular Noetherian integral schemessmooth complex affine varieties

Mathematics Subject Classification ID

Brauer groups of schemes (14F22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Brauer groups (algebraic aspects) (16K50) Orders in separable algebras (16H10)

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Decomposition of topological Azumaya algebras ⋮ Period-index bounds for arithmetic threefolds ⋮ Involutions of Azumaya algebras ⋮ An 8-periodic exact sequence of Witt groups of Azumaya algebras with involution ⋮ Azumaya algebras without involution ⋮ Surjectivity of the total Clifford invariant and Brauer dimension ⋮ On the classification of oriented 3-plane bundles over a 6-complex ⋮ The prime divisors of the period and index of a Brauer class ⋮ Maximal orders in unramified central simple algebras

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