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ON INVERSES AND ALGEBRAIC LOOPS OF CO-H-SPACES

ON INVERSES AND ALGEBRAIC LOOPS OF CO-H-SPACES
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摘要 In this paper we study the properties of homotopy inverses of comultiplications and Mgebraic loops of co-H-spaces based on a wedge of spheres. We also investigate a method to construct new comultiplications out of old ones by using a group action. We are primarily interested in the algebraic loops which have inversive, power-associative and Moufang properties for some comultiplications. In this paper we study the properties of homotopy inverses of comultiplications and Mgebraic loops of co-H-spaces based on a wedge of spheres. We also investigate a method to construct new comultiplications out of old ones by using a group action. We are primarily interested in the algebraic loops which have inversive, power-associative and Moufang properties for some comultiplications.
作者 Dae-Woong LEE
机构地区 Department of Mathematics
出处 《Acta Mathematica Scientia》 SCIE CSCD 2014年第4期1193-1211,共19页 数学物理学报（B辑英文版）
基金 supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) the Ministry of Education,Science and Technology (2010-0022035)
关键词 INVERSES co-H-spaces comultiplications basic （Whitehead） product Hopf- Hilton invariants algebraic loops inversivity power-associativity Moufang property inverses co-H-spaces comultiplications basic （Whitehead） product Hopf- Hilton invariants algebraic loops inversivity power-associativity Moufang property
分类号 O151.2 [理学—基础数学]
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Acta Mathematica Scientia
2014年 第4期

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