Coverart for item
The Resource Combinatorics of coxeter groups, Anders Björner, Francesco Brenti

Combinatorics of coxeter groups, Anders Björner, Francesco Brenti

Label
Combinatorics of coxeter groups
Title
Combinatorics of coxeter groups
Statement of responsibility
Anders Björner, Francesco Brenti
Creator
Contributor
Subject
Language
eng
Summary
Coxeter groups are of central importance in several areas of algebra, geometry, and combinatorics. This clear and rigorous exposition focuses on the combinatorial aspects of Coxeter groups, such as reduced expressions, partial order of group elements, enumeration, associated graphs and combinatorial cell complexes, and connections with combinatorial representation theory. While Coxeter groups have already been exposited from algebraic and geometric perspectives, this text is the first one to focus mainly on the combinatorial aspects of Coxeter groups. The first part of the book provides a self-contained introduction to combinatorial Coxeter group theory. The emphasis here is on the combinatorics of reduced decompositions, Bruhat order, weak order, and some aspects of root systems. The second part deals with more advanced topics, such as Kazhdan-Lusztig polynomials and representations, enumeration, and combinatorial descriptions of the classical finite and affine Weyl groups. A wide variety of exercises, ranging from easy to quite difficult are also included. The book will serve graduate students as well as researchers. Anders Björner is Professor of Mathematics at the Royal Institute of Technology in Stockholm, Sweden. Francesco Brenti is Professor of Mathematics at the University of Rome
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Björner, Anders
Dewey number
512.2
Illustrations
illustrations
Index
index present
LC call number
QA182.5
LC item number
.B56 2005eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1960-
http://library.link/vocab/relatedWorkOrContributorName
Brenti, Francesco
Series statement
Graduate texts in mathematics
Series volume
231
http://library.link/vocab/subjectName
  • Coxeter groups
  • Combinatorial group theory
  • Coxeter, Groupes de
  • Groupes, Théorie combinatoire des
  • Combinatorial group theory
  • Coxeter groups
  • Teoria combinatória dos grupos
  • Álgebra
Label
Combinatorics of coxeter groups, Anders Björner, Francesco Brenti
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 323-351) and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
The Basics -- Bruhat Order -- Weak Order and Reduced Words -- Roots, Games, and Automata -- Kashdan-Lusztig and R-polynomials -- Kazhdan-Lusztig Representations -- Enumeration -- Combinatorial Descriptions
Control code
262681080
Dimensions
unknown
Extent
1 online resource (xii, 363 pages)
Form of item
online
Isbn
9783540275961
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
9783540442387
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-540-44238-7
Specific material designation
remote
System control number
(OCoLC)262681080
Label
Combinatorics of coxeter groups, Anders Björner, Francesco Brenti
Publication
Bibliography note
Includes bibliographical references (pages 323-351) and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
The Basics -- Bruhat Order -- Weak Order and Reduced Words -- Roots, Games, and Automata -- Kashdan-Lusztig and R-polynomials -- Kazhdan-Lusztig Representations -- Enumeration -- Combinatorial Descriptions
Control code
262681080
Dimensions
unknown
Extent
1 online resource (xii, 363 pages)
Form of item
online
Isbn
9783540275961
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
9783540442387
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-540-44238-7
Specific material designation
remote
System control number
(OCoLC)262681080

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