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Locally finite root systems / [electronic resource] Ottmar Loos, Erhard Neher.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 811Publication details: Providence, R.I. : American Mathematical Society, 2004.Description: 1 online resource (ix, 214 p. : ill.)ISBN:
  • 9781470404123 (online)
Subject(s): Additional physical formats: Locally finite root systems /DDC classification:
  • 510 s 512/.482 22
LOC classification:
  • QA3 .A57 no. 811 QA252.3
Online resources:
Contents:
Introduction 1. The category of sets in vector spaces 2. Finiteness conditions and bases 3. Locally finite root systems 4. Invariant inner products and the coroot system 5. Weyl groups 6. Integral bases, root bases and Dynkin diagrams 7. Weights and coweights 8. Classification 9. More on Weyl groups and automorphism groups 10. Parabolic subsets and positive systems for symmetric sets in vector spaces 11. Parabolic subsets of root systems and presentations of the root lattice and the Weyl group 12. Closed and full subsystems of finite and infinite classical root systems 13. Parabolic subsets of root systems: classification 14. Positive systems in root systems 15. Positive linear forms and facets 16. Dominant and fundamental weights 17. Gradings of root systems 18. Elementary relations and graphs in 3-graded root systems
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK13264

"September 2004."

"Volume 171, number 811 (end of volume)."

Includes bibliographical references (p. 201-203) and indexes.

Introduction 1. The category of sets in vector spaces 2. Finiteness conditions and bases 3. Locally finite root systems 4. Invariant inner products and the coroot system 5. Weyl groups 6. Integral bases, root bases and Dynkin diagrams 7. Weights and coweights 8. Classification 9. More on Weyl groups and automorphism groups 10. Parabolic subsets and positive systems for symmetric sets in vector spaces 11. Parabolic subsets of root systems and presentations of the root lattice and the Weyl group 12. Closed and full subsystems of finite and infinite classical root systems 13. Parabolic subsets of root systems: classification 14. Positive systems in root systems 15. Positive linear forms and facets 16. Dominant and fundamental weights 17. Gradings of root systems 18. Elementary relations and graphs in 3-graded root systems

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.

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