The Resource Braid Groups, by Christian Kassel, Vladimir Turaev, (electronic resource)

Braid Groups, by Christian Kassel, Vladimir Turaev, (electronic resource)

Label
Braid Groups
Title
Braid Groups
Statement of responsibility
by Christian Kassel, Vladimir Turaev
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
Braids and braid groups have been at the heart of mathematical development over the last two decades. Braids play an important role in diverse areas of mathematics and theoretical physics. The special beauty of the theory of braids stems from their attractive geometric nature and their close relations to other fundamental geometric objects, such as knots, links, mapping class groups of surfaces, and configuration spaces. In this presentation the authors thoroughly examine various aspects of the theory of braids, starting from basic definitions and then moving to more recent results. The advanced topics cover the Burau and the Lawrence--Krammer--Bigelow representations of the braid groups, the Alexander--Conway and Jones link polynomials, connections with the representation theory of the Iwahori--Hecke algebras, and the Garside structure and orderability of the braid groups. This book will serve graduate students, mathematicians, and theoretical physicists interested in low-dimensional topology and its connections with representation theory
Member of
Is Subseries of
http://library.link/vocab/creatorName
Kassel, Christian
Dewey number
  • 512.2
  • 514
  • 514.224
  • 514/.224
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • yXUVEIXcEBI
  • p2ahCN9Egto
Language note
English
LC call number
QA174-183
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Turaev, Vladimir.
Series statement
Graduate Texts in Mathematics,
Series volume
247
http://library.link/vocab/subjectName
  • Group theory
  • Cell aggregation
  • Algebra
  • Algebraic topology
  • Group Theory and Generalizations
  • Manifolds and Cell Complexes (incl. Diff.Topology)
  • Order, Lattices, Ordered Algebraic Structures
  • Algebraic Topology
Label
Braid Groups, by Christian Kassel, Vladimir Turaev, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Braids and Braid Groups -- Braids, Knots, and Links -- Homological Representations of the Braid Groups -- Symmetric Groups and Iwahori#x2013;Hecke Algebras -- Representations of the Iwahori#x2013;Hecke Algebras -- Garside Monoids and Braid Monoids -- An Order on the Braid Groups -- Presentations of SL(Z) and PSL(Z) -- Fibrations and Homotopy Sequences -- The Birman#x2013;Murakami#x2013;Wenzl Algebras -- Left Self-Distributive Sets
Dimensions
unknown
Edition
1st ed. 2008.
Extent
1 online resource (348 p.)
Form of item
online
Isbn
9781281490957
Media category
computer
Media type code
c
Other control number
10.1007/978-0-387-68548-9
Specific material designation
remote
System control number
  • (CKB)1000000000440895
  • (EBL)371478
  • (OCoLC)318867408
  • (SSID)ssj0000114248
  • (PQKBManifestationID)11143084
  • (PQKBTitleCode)TC0000114248
  • (PQKBWorkID)10102121
  • (PQKB)11163336
  • (DE-He213)978-0-387-68548-9
  • (MiAaPQ)EBC371478
  • (EXLCZ)991000000000440895
Label
Braid Groups, by Christian Kassel, Vladimir Turaev, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Braids and Braid Groups -- Braids, Knots, and Links -- Homological Representations of the Braid Groups -- Symmetric Groups and Iwahori#x2013;Hecke Algebras -- Representations of the Iwahori#x2013;Hecke Algebras -- Garside Monoids and Braid Monoids -- An Order on the Braid Groups -- Presentations of SL(Z) and PSL(Z) -- Fibrations and Homotopy Sequences -- The Birman#x2013;Murakami#x2013;Wenzl Algebras -- Left Self-Distributive Sets
Dimensions
unknown
Edition
1st ed. 2008.
Extent
1 online resource (348 p.)
Form of item
online
Isbn
9781281490957
Media category
computer
Media type code
c
Other control number
10.1007/978-0-387-68548-9
Specific material designation
remote
System control number
  • (CKB)1000000000440895
  • (EBL)371478
  • (OCoLC)318867408
  • (SSID)ssj0000114248
  • (PQKBManifestationID)11143084
  • (PQKBTitleCode)TC0000114248
  • (PQKBWorkID)10102121
  • (PQKB)11163336
  • (DE-He213)978-0-387-68548-9
  • (MiAaPQ)EBC371478
  • (EXLCZ)991000000000440895

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