Descent in buildings (AM-190)

Descent in Buildings begins with the resolution of a major open question about the local structure of Bruhat-Tits buildings. The authors then put their algebraic solution into a geometric context by developing a general fixed point theory for groups acting on buildings of arbitrary type, giving nece...

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Detalles Bibliográficos
Autores principales: Mühlherr, Bernhard, Petersson, Holger P, Weiss, Richard M
Lenguaje:eng
Publicado: Princeton University Press 2015
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/2121494
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author Mühlherr, Bernhard
Petersson, Holger P
Weiss, Richard M
author_facet Mühlherr, Bernhard
Petersson, Holger P
Weiss, Richard M
author_sort Mühlherr, Bernhard
collection CERN
description Descent in Buildings begins with the resolution of a major open question about the local structure of Bruhat-Tits buildings. The authors then put their algebraic solution into a geometric context by developing a general fixed point theory for groups acting on buildings of arbitrary type, giving necessary and sufficient conditions for the residues fixed by a group to form a kind of subbuilding or "form" of the original building. At the center of this theory is the notion of a Tits index, a combinatorial version of the notion of an index in the relative theory of algebraic groups. These results
id cern-2121494
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2015
publisher Princeton University Press
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spelling cern-21214942021-04-21T19:55:11Zhttp://cds.cern.ch/record/2121494engMühlherr, BernhardPetersson, Holger PWeiss, Richard MDescent in buildings (AM-190)Mathematical Physics and MathematicsDescent in Buildings begins with the resolution of a major open question about the local structure of Bruhat-Tits buildings. The authors then put their algebraic solution into a geometric context by developing a general fixed point theory for groups acting on buildings of arbitrary type, giving necessary and sufficient conditions for the residues fixed by a group to form a kind of subbuilding or "form" of the original building. At the center of this theory is the notion of a Tits index, a combinatorial version of the notion of an index in the relative theory of algebraic groups. These resultsPrinceton University Pressoai:cds.cern.ch:21214942015
spellingShingle Mathematical Physics and Mathematics
Mühlherr, Bernhard
Petersson, Holger P
Weiss, Richard M
Descent in buildings (AM-190)
title Descent in buildings (AM-190)
title_full Descent in buildings (AM-190)
title_fullStr Descent in buildings (AM-190)
title_full_unstemmed Descent in buildings (AM-190)
title_short Descent in buildings (AM-190)
title_sort descent in buildings (am-190)
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2121494
work_keys_str_mv AT muhlherrbernhard descentinbuildingsam190
AT peterssonholgerp descentinbuildingsam190
AT weissrichardm descentinbuildingsam190

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