Representation Theory of Finite Groups: Algebra and Arithmetic

Idioma: inglés

Editorial: American Mathematical Society, US, 2003

0821832220 / 9780821832226

Serie: Libro 47 de 190 - Graduate Studies in Mathematics

Librería: Rarewaves.com UK, London, Reino UnidoRarewaves.com UK

Vendedor de 5 estrellas

Vendedor de AbeBooks desde el 11 de junio de 2025

Tapa dura

Condición: Nuevo

EUR 112,48

Envío por EUR 75,77 
Se envía de Reino Unido a Estados Unidos de America

Cantidad disponible: 1 disponible

Añadir al carrito
Devoluciones gratuitas de 30 días

Descripción del artículo del vendedor

'We explore widely in the valley of ordinary representations, and we take the reader over the mountain pass leading to the valley of modular representations, to a point from which (s)he can survey this valley, but we do not attempt to widely explore it. We hope the reader will be sufficiently fascinated by the scenery to further explore both valleys on his/her own' - from the Preface. Representation theory plays important roles in geometry, algebra, analysis, and mathematical physics. In particular, it has been one of the great tools in the study and classification of finite groups. The theory contains some particularly beautiful results: Frobenius' theorem, Burnside's theorem, Artin's theorem, Brauer's theorem - all of which are covered in this textbook. Some seem uninspiring at first but prove to be quite useful. Others are clearly deep from the outset.And when a group (finite or otherwise) acts on something else (as a set of symmetries, for example), one ends up with a natural representation of the group. This book is an introduction to the representation theory of finite groups from an algebraic point of view, regarding representations as modules over the group algebra. The approach is to develop the requisite algebra in reasonable generality and then to specialize it to the case of group representations. Methods and results particular to group representations, such as characters and induced representations, are developed in depth. Arithmetic comes into play when considering the field of definition of a representation, especially for subfields of the complex numbers.The book has an extensive development of the semisimple case, where the characteristic of the field is zero or is prime to the order of the group, and builds the foundations of the modular case, where the characteristic of the field divides the order of the group. The book assumes only the material of a standard graduate course in algebra. It is suitable as a text for a year-long graduate course. The subject is of interest to students of algebra, number theory and algebraic geometry. The systematic treatment presented here makes the book also valuable as a reference.…

N° de ref. del artículo LU-9780821832226

Título
Representation Theory of Finite Groups: Algebra and Arithmetic
Autor
Steven H. Weintraub
Editorial
American Mathematical Society, US
Año de publicación
2003
Estado
New
Encuadernación
Hardback
Idioma
inglés
ISBN 10
0821832220
ISBN 13
9780821832226
Peso del artículo
599 gramos
Dimensiones
19.05 x 1.91 x 26.67 cm
Serie
Libro 47 de 190: Graduate Studies in Mathematics

Rarewaves.com UK

London, Reino Unido

Vendedor de 5 estrellas

Vendedor de AbeBooks desde el 11 de junio de 2025

Tarifas de envío de Reino Unido a Estados Unidos de America

ArtículoDe 60 a 60 días hábilesDe 60 a 60 días hábiles
Primer artículoEUR 75,77EUR 116,56
Los plazos de entrega los establecen los vendedores y varían según el transportista y la ubicación. Los pedidos que pasan por la aduana pueden sufrir retrasos y los compradores son responsables de los aranceles o tarifas asociadas. Los vendedores pueden ponerse en contacto con usted en relación con cargos adicionales para cubrir cualquier aumento en los costes de envío de los artículos.

Métodos de pago

  • Visa
  • Mastercard
  • American Express
  • Carte Bleue
  • Apple Pay
  • Google Pay

Información empresarial del vendedor

RAREWAVES.COM LIMITED

Elsley Court, 20-22 Great Titchfield Street
London, Reino Unido W1W 8BE