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Notes on Coxeter Transformations and the Mckay Correspondence
Rafael Stekolshchik
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Description for Notes on Coxeter Transformations and the Mckay Correspondence
Hardback. Deals with the subject of representation theory in finite groups. This title contains 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. Series: Springer Monographs in Mathematics. Num Pages: 260 pages, 28 black & white illustrations, 38 black & white tables, biography. BIC Classification: PBF. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 15. Weight in Grams: 555.
One of the beautiful results in the representation theory of the finite groups is McKay's theorem on a correspondence between representations of the binary polyhedral group of SU(2) and vertices of an extended simply-laced Dynkin diagram.
The Coxeter transformation is the main tool in the proof of the McKay correspondence, and is closely interrelated with the Cartan matrix and Poincaré series. The Coxeter functors constructed by Bernstein, Gelfand and Ponomarev plays a distinguished role in the representation theory of quivers.
On these pages, the ideas and formulas due to J. N. Bernstein, I. M. Gelfand and V. A. ... Read more
Show LessProduct Details
Format
Hardback
Publication date
2008
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
260
Condition
New
Series
Springer Monographs in Mathematics
Number of Pages
240
Place of Publication
Berlin, Germany
ISBN
9783540773986
SKU
V9783540773986
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Rafael Stekolshchik
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 ... Read more
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