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

Häftad, Engelska, 1979

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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.

Produktinformation

Utgivningsdatum1979-08-01
Mått216 x 279 x 9 mm
Vikt454 g
FormatHäftad
SpråkEngelska
Antal sidor158
FörlagUniversity of Texas Press
ISBN9780292740679

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Algebra inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik
Topologi inom Naturvetenskap och teknik

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 Δ V. The Witt Ring W(OF) 1. Symbols 2. The boundary operator 3. The ring W(OF) References Symbol List