Notes on the Witt Classification of Hermitian Innerproduct Spaces over a Ring of Algebraic Integers (häftad)
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Format
Häftad (Paperback / softback)
Språk
Engelska
Antal sidor
158
Utgivningsdatum
1979-08-01
Förlag
University of Texas Press
Medarbetare
Conner, P. E. Jr.
Illustrationer
black & white illustrations
Dimensioner
279 x 216 x 9 mm
Vikt
381 g
Antal komponenter
1
Komponenter
12:B&W 8.5 x 11 in or 280 x 216 mm Perfect Bound on White w/Gloss Lam
ISBN
9780292740679

Notes on the Witt Classification of Hermitian Innerproduct Spaces over a Ring of Algebraic Integers

av P E Conner
Häftad,  Engelska, 1979-08-01
296
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The lectures comprising this volume were delivered by P. E. Conner at the University of Texas at Austin in 1978. The lectures are intended to give mathematicians at the graduate level and beyond some powerful algebraic and number theoretical tools for formulating and solving certain types of classification problems in topology.
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Övrig information

P. E. Conner was Nicholson Professor of Mathematics at Louisiana State University.

Innehållsförteckning

Introduction I. Relative Quadratic Extensions 1. Extension of primes 2. Hilbert symbols 3. The group Gen(E/F) 4. The group Iso(E/F) 5. The unramified case 6. Examples II. The Witt Ring H(E) 1. General definitions 2. Anisotropic representatives 3. Invariants for H(E) 4. Algebraic number fields III. Torsion Forms 1. Torsion OE-modules 2. The quotient E/K 3. Torsion innerproducts 4. Localizers 5. The inverse different IV. The Group Hu(K) 1. Basic definitions 2. The group Iso(E/F) again 3. The Knebusch exact sequence 4. Localization 5. Computing Hu(K) 6. The ring H(OE) 7. The Cokernel of V. The Witt Ring W(OF) 1. Symbols 2. The boundary operator 3. The ring W(OF) References Symbol List

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