On inverses and algebraic loops of co-H-spaces

Dae Woong Lee

doi:10.1016/S0252-9602(14)60079-5

On inverses and algebraic loops of co-H-spaces

Dae Woong Lee^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

2 Scopus citations

Abstract

In this paper we study the properties of homotopy inverses of comultiplications and algebraic 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.

Original language	English
Pages (from-to)	1193-1211
Number of pages	19
Journal	Acta Mathematica Scientia
Volume	34
Issue number	4
DOIs	https://doi.org/10.1016/S0252-9602(14)60079-5
State	Published - 2014.07

Keywords

Algebraic loops
Basic (Whitehead) product
Co-H-spaces
Comultiplications
Hopf-Hilton invariants
Inverses
Inversivity
Moufang property
Power-associativity

Quacquarelli Symonds(QS) Subject Topics

Mathematics
Physics & Astronomy

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10.1016/S0252-9602(14)60079-5

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abstract = "In this paper we study the properties of homotopy inverses of comultiplications and algebraic 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.",

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AB - In this paper we study the properties of homotopy inverses of comultiplications and algebraic 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.

KW - Algebraic loops

KW - Basic (Whitehead) product

KW - Co-H-spaces

KW - Comultiplications

KW - Hopf-Hilton invariants

KW - Inverses

KW - Inversivity

KW - Moufang property

KW - Power-associativity

UR - https://www.scopus.com/pages/publications/84901194309

U2 - 10.1016/S0252-9602(14)60079-5

DO - 10.1016/S0252-9602(14)60079-5

M3 - Journal article

AN - SCOPUS:84901194309

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VL - 34

SP - 1193

EP - 1211

JO - Acta Mathematica Scientia

JF - Acta Mathematica Scientia

IS - 4

ER -

On inverses and algebraic loops of co-H-spaces

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

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