Notes on Coxeter Transformations and the McKay Correspondence

2008
ISBN: 978-3-540-77398-6
Verlag: Springer

Buch, Englisch, 240 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 559 g

Reihe: Springer Monographs in Mathematics

Here is a key text on the subject of representation theory in finite groups. The pages of this excellent little book, prepared by Rafael Stekolshchik, contain a number of new proofs relating to Coxeter Transformations and the McKay Correspondence. They include ideas and formulae from a number of luminaries including J. N. Bernstein, I. M. Gelfand and V. A. Ponomarev, as well as material from Coxeter and McKay themselves. Many other authors have material published here too.

Zielgruppe

Research

Autoren/Hrsg.

Stekolshchik, Rafael

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Mathematik | Informatik Mathematik Algebra Homologische Algebra

Inhaltsverzeichnis

Preliminaries.- The Jordan normal form of the Coxeter transformation.- Eigenvalues, splitting formulas and diagrams Tp,q,r.- R. Steinberg’s theorem, B. Kostant’s construction.- The affine Coxeter transformation.

Über Autor(innen)

1980 - 1991, CAM (Center of Automation and Metrology), Academy of Sciences of Moldova, Project leader of experimental data processing.
Research and development of programs and mathematical tools for Academy of Sciences of Moldova,

 999 – 2007, ECI Telecom  (Electronics Corporation of Israel), Israel, Project leader in the Network Management department.
Research and development of algorithmes in the field of Communications and Big Systems.