Dieudonné's Determinants and Structure of General Linear Groups Over Division Rings Revisited

DOI10.21915/BIMAS.2021102zbMath1473.12003OpenAlexW3158925005MaRDI QIDQ5004098

Chia-Fu Yu, Chun-Yi Lin Lin

Publication date: 30 July 2021

Published in: Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21915/bimas.2021102

zbMATH Keywords

general linear groupsdivision ringsDieudonné determinants

Mathematics Subject Classification ID

Finite-dimensional division rings (16K20) Skew fields, division rings (12E15)

Related Items

A non-commutative Reidemeister-Turaev torsion of homology cylinders

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables.
• Applications of the Dieudonne determinant
• Sur la norme réduite du déterminant de Dieudonné des matrices quaternioniennes. (On the reduced norm of the Dieudonné determinant of quaternion matrices)
• Drinfeld Modules, Frobenius Endomorphisms, and CM-Liftings
• On the Structure of Orthogonal Groups
• DIEUDONNÉ DETERMINANTS FOR SKEW POLYNOMIAL RINGS
• Notes on Locally Free Groups
• Über die Einfachheit der speziellen projektiven Gruppen
• Les déterminants sur un corps non commutatif
• On the Commutator Group of a Simple Algebra
• On the Structure of Unitary Groups
• On the Structure of Unitary Groups (II)
• On the Commutator Subgroup of the General Linear Group