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On the cellular decomposition of the exceptional Lie group $G_2$

Author(s): Mamoru Mimura; Tetsu Nishimoto
Journal: Proc. Amer. Math. Soc. 130 (2002), 2451-2459.
MSC (2000): Primary 57N60
Posted: February 4, 2002
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Abstract: The present note is to give a cellular decomposition of the compact connected exceptional Lie group $G_2$.

References:

[A]
J. F. Adams, Lectures on exceptional Lie groups, (edited by Zafer Mahmud and Mamoru Mimura) Chicago Lectures in Mathematics. University of Chicago Press, Chicago, IL, 1996. MR 98b:22001

[Y1]
I. Yokota, On the cell structures of ${\rm SU}(n)$and ${\rm Sp}(n)$, Proc. Japan Acad., 31 (1955), 673-677. MR 17:774a

[Y2]
I. Yokota, On the cellular decompositions of unitary groups, J. Inst. Polytech. Osaka City Univ. Ser. A., 7 (1956), 39-49. MR 18:918e

[Y3]
I. Yokota, Groups and Topology, Shokabo, (1971) (in Japanese).

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Additional Information:

Mamoru Mimura
Affiliation: Department of Mathematics, Okayama University, Okayama, Japan 700-8530
Email: mimura@math.okayama-u.ac.jp

Tetsu Nishimoto
Affiliation: Kinki Welfare University, Fukusaki-cho Hyogo, Japan 679-2217
Email: nishimoto@kinwu.ac.jp

DOI: 10.1090/S0002-9939-02-06446-8
PII: S 0002-9939(02)06446-8
Keywords: Exceptional Lie groups, cellular decomposition
Received by editor(s): March 1, 2001
Posted: February 4, 2002
Additional Notes: This work was partially supported by the Grant-in-Aid for Scientific Research \#12640025 from the Japan Society of Promotion of Science
Communicated by: Paul Goerss
Copyright of article: Copyright 2002, American Mathematical Society

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