Details

Autor(en) / Beteiligte

• Shirokov, D. S.

Titel

Classification of Lie algebras of specific type in complexified Clifford algebras

Ist Teil von

• Linear & multilinear algebra, 2018-09, Vol.66 (9), p.1870-1887

Ort / Verlag

Abingdon: Taylor & Francis

Erscheinungsjahr

2018

Quelle

Taylor & Francis

Beschreibungen/Notizen

• We give a full classification of Lie algebras of specific type in complexified Clifford algebras. These 16 Lie algebras are direct sums of subspaces of quaternion types. We obtain isomorphisms between these Lie algebras and classical matrix Lie algebras in the cases of arbitrary dimension and signature. We present 16 Lie groups: one Lie group for each Lie algebra associated with this Lie group. We study connection between these groups and spin groups.