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Coxeter groups and Hopf algebras

An important idea in the work of G.-C. Rota is that certain combinatorial objects give rise to Hopf algebras that reflect the manner in which these objects compose and decompose. Recent work has seen the emergence of several interesting Hopf algebras of this kind, which connect diverse subjects such...

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Detalles Bibliográficos
Autores principales: Aguiar, Marcelo, Mahajan, Swapneel
Lenguaje:eng
Publicado: American Mathematical Society 2011
Materias:
Acceso en línea:http://cds.cern.ch/record/2264201
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author Aguiar, Marcelo
Mahajan, Swapneel
author_facet Aguiar, Marcelo
Mahajan, Swapneel
author_sort Aguiar, Marcelo
collection CERN
description An important idea in the work of G.-C. Rota is that certain combinatorial objects give rise to Hopf algebras that reflect the manner in which these objects compose and decompose. Recent work has seen the emergence of several interesting Hopf algebras of this kind, which connect diverse subjects such as combinatorics, algebra, geometry, and theoretical physics. This monograph presents a novel geometric approach using Coxeter complexes and the projection maps of Tits for constructing and studying many of these objects as well as new ones. The first three chapters introduce the necessary backgrou
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2011
publisher American Mathematical Society
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spelling cern-22642012021-04-21T19:13:28Zhttp://cds.cern.ch/record/2264201engAguiar, MarceloMahajan, SwapneelCoxeter groups and Hopf algebrasMathematical Physics and MathematicsAn important idea in the work of G.-C. Rota is that certain combinatorial objects give rise to Hopf algebras that reflect the manner in which these objects compose and decompose. Recent work has seen the emergence of several interesting Hopf algebras of this kind, which connect diverse subjects such as combinatorics, algebra, geometry, and theoretical physics. This monograph presents a novel geometric approach using Coxeter complexes and the projection maps of Tits for constructing and studying many of these objects as well as new ones. The first three chapters introduce the necessary backgrouAmerican Mathematical Societyoai:cds.cern.ch:22642012011
spellingShingle Mathematical Physics and Mathematics
Aguiar, Marcelo
Mahajan, Swapneel
Coxeter groups and Hopf algebras
title Coxeter groups and Hopf algebras
title_full Coxeter groups and Hopf algebras
title_fullStr Coxeter groups and Hopf algebras
title_full_unstemmed Coxeter groups and Hopf algebras
title_short Coxeter groups and Hopf algebras
title_sort coxeter groups and hopf algebras
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2264201
work_keys_str_mv AT aguiarmarcelo coxetergroupsandhopfalgebras
AT mahajanswapneel coxetergroupsandhopfalgebras