COMMUTATIVITY OF THE GROUP OF SELF-HOMOTOPY CLASSES OF LIE GROUPS

AKIRA KONO; HIDEAKI ŌSHIMA

doi:10.1112/S0024609303002571

Hamanaka, Hiroaki Kishimoto, Daisuke and Kono, Akira 2006. Self homotopy groups with large nilpotency classes. Topology and its Applications, Vol. 153, Issue. 14, p. 2425.

ARKOWITZ, Martin STROM, Jeffrey and ŌSHIMA, Hideaki 2006. Homotopy classes of self-maps and induced homomorphisms of homotopy groups. Journal of the Mathematical Society of Japan, Vol. 58, Issue. 2,

Hamanaka, Hiroaki 2007. On Samelson products in p-localized unitary groups. Topology and its Applications, Vol. 154, Issue. 3, p. 573.

Hamanaka, Hiroaki and Kono, Akira 2007. A note on the Samelson products in π∗(SO(2n)) and the group [SO(2n),SO(2n)]. Topology and its Applications, Vol. 154, Issue. 3, p. 567.

MARUYAMA, Ken-ichi and ŌSHIMA, Hideaki 2008. Homotopy groups of the spaces of self-maps of Lie groups. Journal of the Mathematical Society of Japan, Vol. 60, Issue. 3,

Kishimoto, Daisuke and Kono, Akira 2009. On a conjecture of Ōshima. Topology and its Applications, Vol. 156, Issue. 13, p. 2189.

Hamanaka, Hiroaki and Kono, Akira 2010. On the commutativity of the localized self homotopy groups of SU(n). Topology and its Applications, Vol. 157, Issue. 7, p. 1182.

Hamanaka, Hiroaki and Kono, Akira 2010. A note on Samelson products and mod p cohomology of classifying spaces of the exceptional Lie groups. Topology and its Applications, Vol. 157, Issue. 2, p. 393.

Kaji, Shizuo and Kishimoto, Daisuke 2010. Homotopy nilpotency in p-regular loop spaces. Mathematische Zeitschrift, Vol. 264, Issue. 1, p. 209.

Oshima, Hideaki 2010. A lower bound of nilpotency class of the group of self-homotopy classes. Mathematical Journal of Ibaraki University, Vol. 42, Issue. , p. 1.

Kishimoto, Daisuke Kono, Akira and Nagao, Tomoaki 2011. Commutativity of localized self-homotopy groups of symplectic groups. Topology and its Applications, Vol. 158, Issue. 8, p. 1025.

Kishimoto, Daisuke Theriault, Stephen and Tsutaya, Mitsunobu 2017. The homotopy types of G2-gauge groups. Topology and its Applications, Vol. 228, Issue. , p. 92.

KISHIMOTO, DAISUKE and TSUTAYA, MITSUNOBU 2018. SAMELSON PRODUCTS IN p-REGULAR SO(2n) AND ITS HOMOTOPY NORMALITY. Glasgow Mathematical Journal, Vol. 60, Issue. 1, p. 165.

KISHIMOTO, DAISUKE OHSITA, AKIHIRO and TAKEDA, MASAHIRO 2021. NOTE ON SAMELSON PRODUCTS IN EXCEPTIONAL LIE GROUPS. Glasgow Mathematical Journal, Vol. 63, Issue. 3, p. 741.

Kishimoto, Daisuke Takeda, Masahiro and Tong, Yichen 2022. Homotopy commutativity in Hermitian symmetric spaces. Glasgow Mathematical Journal, Vol. 64, Issue. 3, p. 746.

Mohammadi, Sajjad and Janfada, Ali S. 2023. On Localized Self-Homotopy Groups of SU(4) and Sp(4). Bulletin of the Iranian Mathematical Society, Vol. 49, Issue. 5,

Article contents

COMMUTATIVITY OF THE GROUP OF SELF-HOMOTOPY CLASSES OF LIE GROUPS

Abstract

Keywords

Access options

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

COMMUTATIVITY OF THE GROUP OF SELF-HOMOTOPY CLASSES OF LIE GROUPS

Abstract

Keywords

Access options

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests