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Symmetric and G-algebras: With Applications to Group Representations Softcover reprint of the original 1st ed. 1990 [Mīkstie vāki]

  • Formāts: Paperback / softback, 384 pages, height x width: 244x170 mm, weight: 668 g, 384 p., 1 Paperback / softback
  • Sērija : Mathematics and Its Applications 60
  • Izdošanas datums: 04-Oct-2011
  • Izdevniecība: Springer
  • ISBN-10: 9401067562
  • ISBN-13: 9789401067560
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  • Cena: 91,53 €*
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  • Formāts: Paperback / softback, 384 pages, height x width: 244x170 mm, weight: 668 g, 384 p., 1 Paperback / softback
  • Sērija : Mathematics and Its Applications 60
  • Izdošanas datums: 04-Oct-2011
  • Izdevniecība: Springer
  • ISBN-10: 9401067562
  • ISBN-13: 9789401067560
Citas grāmatas par šo tēmu:
'Et moi •...• si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point aIle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non­ The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com­ puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Papildus informācija

Springer Book Archives
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. Külshammers 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 Robinsons theorem.-
9. The Brauer morphism.-
10. Points and pointed
groups.-
11. Interior G-algebras.-
12. Bilinear forms on G-algebras.