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Group Representations

G. Karpilovsky (Autor)

Buch | Hardcover

970 Seiten

1995
North-Holland Publishing Co (Verlag)
978-0-444-89108-2 (ISBN)

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This volume is divided into three parts, covering modular representations, green theory and permutation models. The material is developed with sufficient attention to detail so that it can easily be read by the novice, although its chief appeal will be to specialists.

This volume is divided into three parts. Part I provides the foundations of the theory of modular representations. Special attention is drawn to the Brauer-Swan theory and the theory of Brauer characters. A detailed investigation of quadratic, symplectic and symmetric modules is also provided. Part II is devoted entirely to the Green theory: vertices and sources, the Green correspondence, the Green ring, etc. In Part III, permutation modules are investigated with an emphasis on the study of rho-permutation modules and Burnside rings. The material is developed with sufficient attention to detail so that it can easily be read by the novice, although its chief appeal will be to specialists.

Part 1 Modular representations: separable algebras; Cartan invariants, lattices and decomposition numbers; the brauer - swan theory; brauer characters; quadratic, symplectic and symmetric modules. Part 2 Green theory: vertices and sources; the Green correspondence; virtually irreducible lattices; almost split sequences; the green ring. Part 3 Permutation modules: an introduction to permutation modules; hecke algebras; rho-radical groups; rho-permutation modules; burnside rings.

Erscheint lt. Verlag	31.3.1995
Reihe/Serie	North-Holland Mathematics Studies ; Vol 182
Zusatzinfo	bibliography, index
Verlagsort	Amsterdam
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik
ISBN-10	0-444-89108-0 / 0444891080
ISBN-13	978-0-444-89108-2 / 9780444891082
Zustand	Neuware