Isbn: 9780521749893 - unitary reflection groups (australian mathematical society lecture, 20) (8 Ergebnisse)

Zustand: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide.

Zustand: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide.

Broschur, Gr.-8°. Zustand: Gut. Illustrated. 304 S. Das Buch ist in sehr gutem, sauberen Zustand. Ecken und Kanten minimal bestossen. Sonst sauberes und wohlerhaltenes Exemplar. -----Inhalt. This book provides a complete classification of unitary reflection groups which arise naturally in many areas of mathematics. Designed for graduate students, but also suitable for researchers in algebra, topology and mathematical physics.A complex reflection is a linear transformation which fixes each point in a hyperplane. Intuitively, it resembles the transformation an image undergoes when it is viewed through a kaleidoscope, or arrangement of mirrors. This book gives a complete classification of all groups of transformations of n-dimensional complex space which are generated by complex reflections, using the method of line systems. In particular: irreducible groups are studied in detail, and are identified with finite linear groups; reflection subgroups of reflection groups are completely classified; the theory of eigenspaces of elements of reflection groups is discussed fully; an appendix outlines links to representation theory, topology and mathematical physics. Containing over 100 exercises ranging in difficulty from elementary to research level, this book is ideal for honours and graduate students, or for researchers in algebra, topology and mathematical physics. Introduction; 1. Preliminaries; 2. The groups G(m, p, n); 3. Polynomial invariants; 4. Poincaré series and characterisations of reflection groups; 5. Quaternions and the finite subgroups of SU2(C); 6. Finite unitary reflection groups of rank two; 7. Line systems; 8. The Shepherd and Todd classification; 9. The orbit map, harmonic polynomials and semi-invariants; 10. Covariants and related polynomial identities; 11. Eigenspace theory and reflection subquotients; 12. Reflection cosets and twisted invariant theory; A. Some background in commutative algebra; B. Forms over finite fields; C. Applications and further reading; D. Tables; Bibliography; Index of notation; Index. ISBN: 9780521749893 Due to new EU packaging regulations, we are currently unable to ship to many EU countries. Shipping to Germany, the Netherlands, Ireland, Finland, and the Baltic states is possible. Deliveries to border-based parcel lockers or cross-border parcel forwarding services remain possible. Shipping to all countries outside the EU also remains possible. Sprache: Englisch Gewicht in Gramm: 431.…

Zustand: Used. pp. viii + 294 Illus.

Zustand: New. In English.

Paperback. Zustand: Brand New. 1st edition. 294 pages. 8.75x5.75x0.25 inches. In Stock.

Zustand: New. A complete and clear account of the classification of unitary reflection groups, which arise naturally in many areas of mathematics. Series: Australian Mathematical Society Lecture Series. Num Pages: 302 pages, 12 tables 110 exercises. BIC Classification: PBF. Category: (P) Professional & Vocational. Dimension: 227 x 153 x 16. Weight in Grams: 436. . 2009. Illustrated. paperback. . . . . Books ship from the US and Ireland. …

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - A complex reflection is a linear transformation which fixes each point in a hyperplane. Intuitively, it resembles the transformation an image undergoes when it is viewed through a kaleidoscope, or arrangement of mirrors. This book gives a complete classification of all groups of transformations of n-dimensional complex space which are generated by complex reflections, using the method of line systems. In particular: irreducible groups are studied in detail, and are identified with finite linear groups; reflection subgroups of reflection groups are completely classified; the theory of eigenspaces of elements of reflection groups is discussed fully; an appendix outlines links to representation theory, topology and mathematical physics. Containing over 100 exercises ranging in difficulty from elementary to research level, this book is ideal for honours and graduate students, or for researchers in algebra, topology and mathematical physics. …