Symmetric and G-algebras : with applications to group representations
Author(s)
Bibliographic Information
Symmetric and G-algebras : with applications to group representations
(Mathematics and its applications, v. 60)
Kluwer Academic Publishers, c1990
- Other Title
-
G-algebras
Available at 27 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Includes bibliographies and index
Description and Table of Contents
Table of Contents
1. Preliminaries.- 1. Notation and terminology.- 2. Artinian, noetherian and semisimple modules.- 3. Semisimple modules.- 4. The radical and socle of modules and rings.- 5. The Krull-Schmidt theorem.- 6. Matrix rings.- 7. The Wedderburn-Artin theorem.- 8. Tensor products.- 9. Croup algebras.- 2. Frobenius and symmetric algebras.- 1. Definitions and elementary properties.- 2. Frobenius crossed products.- 3. Symmetric crossed products.- 4. Symmetric endomorphism algebras.- 5. Projective covers and injective hulls.- 6. Classical results.- 7. Frobenius uniserial algebras.- 8. Characterizations of Frobenius algebras.- 9. Characters of symmetric algebras.- 10. Applications to projective modular representations.- 11. Kulshammer's theorems.- 12. Applications.- 3. Symmetric local algebras.- 1. Symmetric local algebras A with dimFZ(A) ? 4.- 2. Some technical lemmas.- 3. Symmetric local algebras A with dimFZ(A) = 5.- 4. Applications to modular representations.- 4. G-algebras and their applications.- 1. The trace map.- 2. Permutation G-algebras.- 3. Algebras over complete noetherian local rings.- 4. Defect groups in G-algebras.- 5. Relative projective and injective modules.- 6. Vertices as defect groups.- 7. The G-algebra EndR((1H)G).- 8. An application: The Robinson's theorem.- 9. The Brauer morphism.- 10. Points and pointed groups.- 11. Interior G-algebras.- 12. Bilinear forms on G-algebras.
by "Nielsen BookData"