Commutativity in special unitary groups at odd primes

Daisuke Kishimoto; Tomoaki Nagao

doi:10.1016/j.topol.2010.04.008

Commutativity in special unitary groups at odd primes

Daisuke Kishimoto, Tomoaki Nagao

Research output: Contribution to journal › Article › peer-review

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Abstract

It is a classical result by Bott that SU(s) and SU(t) homotopy commute in SU(n) if and only if s+t≤n. We consider the p-localization analog of this problem and give an answer at odd primes.

Original language	English
Pages (from-to)	1949-1954
Number of pages	6
Journal	Topology and its Applications
Volume	157
Issue number	12
DOIs	https://doi.org/10.1016/j.topol.2010.04.008
Publication status	Published - Aug 2010
Externally published	Yes

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1016/j.topol.2010.04.008

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title = "Commutativity in special unitary groups at odd primes",

abstract = "It is a classical result by Bott that SU(s) and SU(t) homotopy commute in SU(n) if and only if s+t≤n. We consider the p-localization analog of this problem and give an answer at odd primes.",

author = "Daisuke Kishimoto and Tomoaki Nagao",

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AU - Nagao, Tomoaki

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JO - Topology and its Applications

JF - Topology and its Applications

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Commutativity in special unitary groups at odd primes

Abstract

All Science Journal Classification (ASJC) codes

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