![](/images/graphics-bg.png)
Algebraic Structures Based on a Classifying Space of a Compact Lie Group
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-07
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We analyze the algebraic structures based on a classifying space of a compact Lie group.
We construct the connected graded free Lie algebra structure by considering the rationally nontrivial indecomposable and decomposable generators of homotopy groups and the cohomology cup products, and we show that the homomorphic image of homology generators can be expressed in terms of the Lie brackets in rational homology.
By using the Milnor-Moore theorem, we also investigate the concrete primitive elements in the Pontrjagin algebra.
American Psychological Association (APA)
Lee, Dae-Woong. 2013. Algebraic Structures Based on a Classifying Space of a Compact Lie Group. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-477222
Modern Language Association (MLA)
Lee, Dae-Woong. Algebraic Structures Based on a Classifying Space of a Compact Lie Group. Abstract and Applied Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-477222
American Medical Association (AMA)
Lee, Dae-Woong. Algebraic Structures Based on a Classifying Space of a Compact Lie Group. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-477222
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477222