Generalized Bicomplex Numbers and Lie Groups
     
Yazarlar (2)
Sıddıka Özkaldı Karakuş
Bilecik Şeyh Edebali Üniversitesi, Türkiye
Prof. Dr. Ferdağ KAHRAMAN AKSOYAK Kırşehir Ahi Evran Üniversitesi, Türkiye
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Advances in Applied Clifford Algebras (Q2)
Dergi ISSN 0188-7009 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 12-2015
Cilt / Sayı / Sayfa 25 / 4 / 943–963 DOI 10.1007/s00006-015-0545-x
Makale Linki http://link.springer.com/10.1007/s00006-015-0545-x
Özet
In this paper, we define the generalized bicomplex numbers and give some algebraic properties of them. Also, we show that some hyperquadrics in and 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.
Anahtar Kelimeler
30G35 | 43A80 | 53C40 | 53C50