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The Resource Introduction to Complex Reflection Groups and Their Braid Groups, by Michel Broué, (electronic resource)
Introduction to Complex Reflection Groups and Their Braid Groups, by Michel Broué, (electronic resource)
Resource Information
The item Introduction to Complex Reflection Groups and Their Braid Groups, by Michel Broué, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Introduction to Complex Reflection Groups and Their Braid Groups, by Michel Broué, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 Weyl groups are particular cases of complex reflection groups, i.e. finite subgroups of GLr(C) generated by (pseudo)reflections. These are groups whose polynomial ring of invariants is a polynomial algebra. It has recently been discovered that complex reflection groups play a key role in the theory of finite reductive groups, giving rise as they do to braid groups and generalized Hecke algebras which govern the representation theory of finite reductive groups. It is now also broadly agreed upon that many of the known properties of Weyl groups can be generalized to complex reflection groups. The purpose of this work is to present a fairly extensive treatment of many basic properties of complex reflection groups (characterization, Steinberg theorem, GutkinOpdam matrices, Solomon theorem and applications, etc.) including the basic findings of Springer theory on eigenspaces. In doing so, we also introduce basic definitions and properties of the associated braid groups, as well as a quick introduction to Bessis' lifting of Springer theory to braid groups
 Language
 eng
 Extent
 XI, 138p.
 Contents

 Preliminaries
 Prerequisites and Complements in Commutative Algebra
 Polynomial Invariants of Finite Linear Groups
 Finite Reflection Groups in Characteristic Zero
 Eigenspaces and Regular Elements
 Isbn
 9783642111754
 Label
 Introduction to Complex Reflection Groups and Their Braid Groups
 Title
 Introduction to Complex Reflection Groups and Their Braid Groups
 Statement of responsibility
 by Michel Broué
 Subject

 Algebra
 Algebra
 Group Theory and Generalizations
 Mathematics
 Algebraic Topology
 Mathematics
 Commutative Rings and Algebras
 Algebraic Topology
 Algebra
 Algebraic topology
 Group theory
 Associative Rings and Algebras
 Algebraic topology
 Electronic resources
 Mathematics
 Algebraic topology
 Group theory
 Group theory
 Algebraic Topology
 Language
 eng
 Summary
 Weyl groups are particular cases of complex reflection groups, i.e. finite subgroups of GLr(C) generated by (pseudo)reflections. These are groups whose polynomial ring of invariants is a polynomial algebra. It has recently been discovered that complex reflection groups play a key role in the theory of finite reductive groups, giving rise as they do to braid groups and generalized Hecke algebras which govern the representation theory of finite reductive groups. It is now also broadly agreed upon that many of the known properties of Weyl groups can be generalized to complex reflection groups. The purpose of this work is to present a fairly extensive treatment of many basic properties of complex reflection groups (characterization, Steinberg theorem, GutkinOpdam matrices, Solomon theorem and applications, etc.) including the basic findings of Springer theory on eigenspaces. In doing so, we also introduce basic definitions and properties of the associated braid groups, as well as a quick introduction to Bessis' lifting of Springer theory to braid groups
 http://library.link/vocab/creatorName
 Broué, Michel
 Image bit depth
 0
 LC call number
 QA174183
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 Series statement
 Lecture Notes in Mathematics,
 Series volume
 1988
 http://library.link/vocab/subjectName

 Mathematics
 Algebra
 Group theory
 Algebraic topology
 Mathematics
 Group Theory and Generalizations
 Commutative Rings and Algebras
 Associative Rings and Algebras
 Algebraic Topology
 Label
 Introduction to Complex Reflection Groups and Their Braid Groups, by Michel Broué, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Preliminaries  Prerequisites and Complements in Commutative Algebra  Polynomial Invariants of Finite Linear Groups  Finite Reflection Groups in Characteristic Zero  Eigenspaces and Regular Elements
 Dimensions
 unknown
 Extent
 XI, 138p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783642111754
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783642111754
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783642111754
 Label
 Introduction to Complex Reflection Groups and Their Braid Groups, by Michel Broué, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Preliminaries  Prerequisites and Complements in Commutative Algebra  Polynomial Invariants of Finite Linear Groups  Finite Reflection Groups in Characteristic Zero  Eigenspaces and Regular Elements
 Dimensions
 unknown
 Extent
 XI, 138p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783642111754
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783642111754
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783642111754
Subject
 Algebra
 Algebra
 Algebra
 Algebraic Topology
 Algebraic Topology
 Algebraic Topology
 Algebraic topology
 Algebraic topology
 Algebraic topology
 Associative Rings and Algebras
 Commutative Rings and Algebras
 Electronic resources
 Group Theory and Generalizations
 Group theory
 Group theory
 Group theory
 Mathematics
 Mathematics
 Mathematics
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