Degenerate Spin Groups as Semi-Direct Products
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.20, sa.3-4, ss.565-573, 2010 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 20 Sayı: 3-4
- Basım Tarihi: 2010
- Doi Numarası: 10.1007/s00006-010-0210-3
- Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.565-573
- Anahtar Kelimeler: Degenerate Spin Groups, Clifford algebras
- Anadolu Üniversitesi Adresli: Evet
Özet
Let Q be a symmetric bilinear form on R(n)=R(p+q+r) with corank r, rank p+q and signature type (p, q), p resp. q denoting positive resp. negative dimensions. We consider the degenerate spin group Spin(Q) = Spin(p, q, r) in the sense of Crumeyrolle and prove that this group is isomorphic to the semi-direct product of the nondegenerate and indefinite spin group Spin(p, q) with the additive matrix group Mat (p + q, r)