On \(\text{SU}(1,D)/[\text{U}(1,D),\text{U}(1,D)]\) for a quaternion division algebra \(D\).

DOI10.1007/s00013-008-2438-xzbMath1225.16007OpenAlexW2058453340MaRDI QIDQ933722

Balasubramanian Sury

Publication date: 25 July 2008

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-008-2438-x

zbMATH Keywords

unitary groupsquaternion division algebrasinvolutions of the second kind

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Other matrix groups over rings (20H25) Finite-dimensional division rings (16K20) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Units, groups of units (associative rings and algebras) (16U60)

Related Items (3)

Another proof of B. Sury's theorem. ⋮ Invariant subalgebras of involutorial quaternion division algebras. ⋮ Reduced Whitehead groups and the conjugacy problem for special unitary groups of anisotropic Hermitian forms

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