Sıddıka Özkaldı Karakuş, Ferdağ Kahraman Aksoyak
Published 2014-02-27Version 1
In this paper, we denone the generalized bicomplex numbers and give some algebraic properties of them. Also, we show that some hyperquadrics in R4 and R42 are Lie groups by using generalized bicomplex number product and obtain Lie algebras of these Lie groups. Morever, by using tensor product surfaces, we determine some special Lie subgroups of these hyperquadrics.
Lie groups of dimension 4 and almost hypercomplex manifolds with Hermitian-Norden metrics
Lecture Notes in Lie Groups
Three-dimensional Lorentzian $Ein(2)$ Lie groups
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