A note on the Samelson products in <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi>π</mml:mi><mml:mo>∗</mml:mo></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="normal">SO</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mi>n</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:math> and the group <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mo stretchy="false">[</mml:mo><mml:mi mathvariant="normal">SO</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mi>n</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>,</mml:mo><mml:mi mathvariant="normal">SO</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mi>n</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">]</mml:mo></mml:math>-Reference-Cited by-同舟云学术

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A note on the Samelson products in π∗(SO(2n)) and the group [SO(2n),SO(2n)]

Published:2007-02 Issue:3 Volume:154 Page:567-572
ISSN:0166-8641
Container-title:Topology and its Applications
language:en
Short-container-title:Topology and its Applications

Author:

Hamanaka Hiroaki,Kono Akira

Publisher

Elsevier BV

Subject

Geometry and Topology

Reference14 articles.

1. Non-commutativity of the group of self homotopy classes of classical simple Lie groups;Arkowitz;Topology Appl.,2002

2. A.K. Bousfield, D.M. Kan, Homotopy Limits, Completions and Localizations, Lecture Notes in Math., vol. 304, 1972

3. Characteristic classes and homogeneous spaces I;Borel;Amer. J. Math.,1958

4. A note on the Samelson products in the classical groups;Bott;Comment. Math. Helv.,1960

5. Localization of Nilpotent Groups and Spaces;Hilton,1975

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Turning vector bundles;Algebraic & Geometric Topology;2024-08-19

2. Homotopy commutativity in Hermitian symmetric spaces;Glasgow Mathematical Journal;2022-04-18

3. SAMELSON PRODUCTS IN p-REGULAR SO(2n) AND ITS HOMOTOPY NORMALITY;Glasgow Mathematical Journal;2017-02-07

4. Commutativity of localized self-homotopy groups of symplectic groups;Topology and its Applications;2011-05

5. On the commutativity of the localized self homotopy groups of SU(n);Topology and its Applications;2010-05

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