Invariant subalgebras of involutorial quaternion division algebras.

DOI10.1007/s10958-012-0833-0zbMath1263.16024OpenAlexW2092331256MaRDI QIDQ690774

A. V. Prokopchuk, Vyacheslav I. Yanchevskiĭ

Publication date: 29 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0833-0

zbMATH Keywords

quaternion algebrasquaternion division algebrasinvolutions of the second kindinvariant subalgebrasunitary Whitehead groups

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Whitehead groups and (K_1) (19B99) Finite-dimensional division rings (16K20) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Cites Work

• Unnamed Item
• On \(\text{SU}(1,D)/[\text{U}(1,D),\text{U}(1,D)\) for a quaternion division algebra \(D\).]
• Zeros of Successive Derivatives of Entire Functions of the Form h(z)exp(-e z )
• A note on the special unitary group of a division algebra

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