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Coxeter groups and hopf algebras

By: Contributor(s): Material type: TextTextLanguage: English Series: Fields Institute monographs ; 23Publication details: Rhode Island American Mathematical Society 2006Description: xvi, 181p. illISBN:
  • 9780821839072 (HB)
Subject(s):
Contents:
Ch. 1. Coxeter groups Ch. 2. Left regular bands Ch. 3. Hopf algebras Ch. 4. A brief overview Ch. 5. The descent theory for Coxeter groups Ch. 6. The construction of Hopf algebras Ch. 7. The Hopf algebra of pairs of permutations Ch. 8. The Hopf algebra of pointed faces.
Summary: 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. This text presents a geometric approach using Coxeter complexes and the projection maps of Tits for constructing and studying many of these objects.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 519.1 AGU (Browse shelf(Opens below)) Available 60408

Includes index

Includes bibliography (p. 165-169) and references

Ch. 1. Coxeter groups Ch. 2. Left regular bands Ch. 3. Hopf algebras Ch. 4. A brief overview Ch. 5. The descent theory for Coxeter groups Ch. 6. The construction of Hopf algebras Ch. 7. The Hopf algebra of pairs of permutations Ch. 8. The Hopf algebra of pointed faces.

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. This text presents a geometric approach using Coxeter complexes and the projection maps of Tits for constructing and studying many of these objects.

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The Institute of Mathematical Sciences, Chennai, India