Details

Autor(en) / Beteiligte

• Hoang Bien, Mai
• Huu Dung, Truong
• Thi Thai Ha, Nguyen

Titel

A certain decomposition of infinite invertible matrices over division algebras

Ist Teil von

• Linear & multilinear algebra, 2023-08, Vol.71 (12), p.1948-1956

Ort / Verlag

Abingdon: Taylor & Francis

Erscheinungsjahr

2023

Quelle

Taylor & Francis Journals Auto-Holdings Collection

Beschreibungen/Notizen

• Let D be an infinite division ring with centre F and the group of infinite upper triangular invertible matrices indexed by over D. In this paper, we first show that if D is finite dimensional over F, then every element in whose diagonal entries are commutators of is a commutator of an infinite diagonal matrix and another infinite upper triangular matrix. Some applications are also shown. For example, if , then every element in the commutator subgroup of the Vershik-Kerov group is a commutator.