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

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  • ALPER BULUT

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.

Suggested Citation

  • Alper Bulut, 2017. "K-loop Structures Raised by the Direct Limits of Pseudo Unitary $U(p, a_{n})$ and Pseudo Orthogonal $O(p, a_{n})$ Groups," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 9(5), pages 37-45, October.
    • Handle: RePEc:ibn:jmrjnl:v:9:y:2017:i:5:p:37
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    Keywords

    K-loops; direct limit; pseudo unitary group; pseudo orthogonal group;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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