QUATERNIONS AND LIE GROUPS ON S2
Yusuf Yayli, H.Hilmi Hacisalihoglu, Levent Kula
Ankara University, Faculty of Science, Department of Mathematics,
06100 Tandogan-Ankara, Turkey
Abstract. Pfaff [1] using quaternion product gave some propoties of commutative multiplication of number triplets of R3. We [2] gave a new explanation of multiplication of number triplets by representation matrix. In this paper, we show that, with the product, the great circle on S2 are one parameter Lie groups. Further-more, we optain that all the circles on S2 are Lie groups.