K-loop Structures Raised by the Direct Limits of Pseudo Unitary $U(p, a_{n})$ and Pseudo Orthogonal $O(p, a_{n})$ Groups

Alper Bulut

Journal of Mathematics Research, 2017, vol. 9, issue 5, 37-45

Abstract: A left Bol loop satisfying the automorphic inverse property is called a K-loop or a gyrocommutative gyrogroup. K-loops have been in the centre of attraction since its first discovery by A.A. Ungar in the context of Einstein¡¯s 1905 relativistic theory. In this paper some of the infinite dimensional K-loops are built from the direct limit of finite dimensional group transversals.

Keywords: K-loops; direct limit; pseudo unitary group; pseudo orthogonal group (search for similar items in EconPapers)
Date: 2017
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