Generalized Bicomplex Numbers and Lie Groups

Creative Commons License

Karakuş S., Aksoyak F. K.

Advances in Applied Clifford Algebras, cilt.25, sa.4, ss.943-963, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 4
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s00006-015-0545-x
  • Dergi Adı: Advances in Applied Clifford Algebras
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.943-963
  • Anahtar Kelimeler: 30G35, 43A80, 53C40, 53C50
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

In this paper, we define the generalized bicomplex numbers and give some algebraic properties of them. Also, we show that some hyperquadrics in R4 and R24 are Lie groups by using generalized bicomplex number product and obtain Lie algebras of these Lie groups. Moreover, by using tensor product surfaces, we determine some special Lie subgroups of these hyperquadrics.