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

P. E. Conner (Autor)

Buch | Softcover

158 Seiten

1979
University of Texas Press (Verlag)
978-0-292-74067-9 (ISBN)

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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.

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

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

Erscheint lt. Verlag	15.3.2012
Verlagsort	Austin, TX
Sprache	englisch
Maße	216 x 279 mm
Gewicht	454 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-292-74067-0 / 0292740670
ISBN-13	978-0-292-74067-9 / 9780292740679
Zustand	Neuware