Vahlen groups defined over commutative rings

DOI10.1007/s00209-016-1678-xzbMath1356.15010arXiv1506.05624OpenAlexW3105963722WikidataQ59474716 ScholiaQ59474716MaRDI QIDQ343617

Justin F. McInroy

Publication date: 28 November 2016

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05624

zbMATH Keywords

quadratic formClifford algebraautomorphic formcommutative ringstensor algebraVahlen group

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Vector and tensor algebra, theory of invariants (15A72) Other matrix groups over rings (20H25) Clifford algebras, spinors (15A66)

Related Items (2)

A dichotomy for integral group rings via higher modular groups as amalgamated products ⋮ Holographic coordinates

Cites Work

• A Selberg trace formula for hypercomplex analytic cusp forms
• An introduction to Dirac operators on manifolds
• Vahlen's group of Clifford matrices and spin-groups
• On Sidki's presentation for orthogonal groups.
• Automorphe Funktionen von mehreren Veränderlichen und Dirichletsche Reihen. (Automorphic functions of several variables and Dirichlet series)
• Old and new in Möbius groups
• Möbius transformations in expressed through 2×2 matrices of clifford numbers
• Clifford Algebras and Spinor Norms Over a Commutative Ring
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Vahlen groups defined over commutative rings