On the Degenerate Pin Groups

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AYDIN ŞEKERCİ G., ÇÖKEN A. C.

FILOMAT, cilt.34, sa.6, ss.2017-2027, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 6
  • Basım Tarihi: 2020
  • Doi Numarası: 10.2298/fil2006017a
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.2017-2027
  • Anahtar Kelimeler: spin geometry, special relativity, Clifford algebras, Dirac operator, SPIN
  • Akdeniz Üniversitesi Adresli: Evet

Özet

We define a double covering homomorphism between a degenerate pin group and a degenerate orthogonal group which are given as semi-direct products. We also show that both of them are decomposed into four disjoint sets consisting of connected components. Then, using the components of pseudo-orthogonal group, we investigate the components of degenerate pin group and degenerate orthogonal group.