J 2006

G-structures on spheres

ČADEK, Martin and Michael CRABB

Basic information

Original name

G-structures on spheres

Name in Czech

G-struktury na sférách

Authors

ČADEK, Martin (203 Czech Republic, guarantor) and Michael CRABB (826 United Kingdom of Great Britain and Northern Ireland)

Edition

Proceedings of the London mathematical society, Cambridge, Cambridge University Press, 2006, 0024-6115

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10101 Pure mathematics

Country of publisher

United Kingdom of Great Britain and Northern Ireland

Confidentiality degree

is not subject to a state or trade secret

References:

URL

Impact factor

Impact factor: 0.902

RIV identification code

RIV/00216224:14310/06:00017053

Organization unit

Faculty of Science

UT WoS

000242006700009

Keywords in English

Principal bundle; reduction of the structure group; representations of classical Lie groups; K-theory; Weyl Dimension Formula; unstable Adams map

Tags

K-theory, principal bundle, unstable Adams map, Weyl Dimension Formula
Changed: 15/12/2006 11:41, doc. RNDr. Martin Čadek, CSc.

Abstract

ORIG CZ

V originále

A generalization of classical theorems on the existence of sections of real, complex and quaternionic Stiefel manifolds over spheres is proved. We obtain a complete list of Lie group homomorhisms which reduce the structure group G_n=SO(n), SU(n), Sp(n) in the principal fibre bundle over G_{n+1}/G_n.

In Czech

Práce popisuje zobecnění klasických vět o existenci řezů Stieflových variet. Podává seznam homomorfismů, které redukují strukturní grupu G_n=SO(n), SU(n), Sp(n) v hlavním bandlu nad G_{n+1}/G_n.

Links

MSM0021622409, plan (intention)
Name: Matematické struktury a jejich fyzikální aplikace
Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures and their physical applications
Displayed: 27/3/2025 12:18