Metacommutation of primes in central simple algebras

DOI10.1016/j.jnt.2019.06.017zbMath1454.11205arXiv1809.07423OpenAlexW2966536007MaRDI QIDQ2326486

Sara Chari

Publication date: 7 October 2019

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.07423

zbMATH Keywords

quaternion orderquaternion algebracentral simple algebrametacommutation

Mathematics Subject Classification ID

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Other algebras and orders, and their zeta and (L)-functions (11R54)

Related Items (3)

Hecke operators acting on optimal embeddings in indefinite quaternion algebras ⋮ Finiteness of elasticities of orders in central simple algebras ⋮ Metacommutation of primes in Eichler orders

Cites Work

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• Cycle indices of linear, affine, and projective groups
• The \(L\)-algebra of Hurwitz primes
• Metacommutation as a Group Action on the Projective Line Over 𝔽_{𝕡}
• Metacommutation of Hurwitz primes
• Identifying the Matrix Ring: Algorithms for Quaternion Algebras and Quadratic Forms

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