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Notes on Coxeter Transformations and the Mckay Correspondenceby Rafael Stekolshchik
Springer 2008; US$ 129.00One 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 Poincar?? 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. Ponomarev, H.S.M. Coxeter, V. Dlab and C.M. Ringel, V. Kac, J. McKay, T.A. Springer, B. Kostant, P. Slodowy, R. Steinberg, W.... more...
Transforms and Applications Handbookby Alexander D. Poularikas
CRC Press 2010; US$ 169.95Highlighting the use of transforms and their properties, this title offers an introduction to signals and systems, including properties of the delta function and some classical orthogonal functions. It then details different transforms, including lapped, Mellin, wavelet, and Hartley varieties. more...
Graphisme et géométrieby Michel Fleury
Presses de l''niversite du Quebec 1986; US$ 27.00Une introduction à l'étude des rythmes visuels d'un point de vue géométrique et algorithmique. L'auteur montre le rôle de l'informatique dans la réalisation des dessins rythmiques et explique que la variété des rythmes visuels s'ordonne en classes distinctes associées à des algorithmes de production. more...
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