<E-Book>
Symmetric and G-algebras : With Applications to Group Representations / by Gregory Karpilovsky
(Mathematics and Its Applications ; 60)
Edition | 1st ed. 1990. |
---|---|
Publisher | (Dordrecht : Springer Netherlands : Imprint: Springer) |
Year | 1990 |
Language | English |
Size | 384 p : online resource |
Authors | *Karpilovsky, Gregory author SpringerLink (Online service) |
Subjects | LCSH:Algebra LCSH:Associative rings LCSH:Associative algebras LCSH:Group theory FREE:Algebra FREE:Associative Rings and Algebras FREE:Group Theory and Generalizations |
Notes | 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. Külshammer’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 HTTP:URL=https://doi.org/10.1007/978-94-009-0597-9 |
TOC
Hide book details.
E-Book | Location | Media type | Volume | Call No. | Status | Reserve | Comments | ISBN | Printed | Restriction | Designated Book | Barcode No. |
---|---|---|---|---|---|---|---|---|---|---|---|---|
E-Book | オンライン | 電子ブック |
|
Springer eBooks | 9789400905979 |
|
電子リソース |
|
EB00231592 |
Similar Items
Usage statistics of this contents
Number of accesses to this page:3times
※After Sep 4, 2017