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Skew fields

Author: P Draxl
Publisher: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1983.
Series: London Mathematical Society lecture note series, 81.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
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This book will be of interest to graduate students in pure mathematics and to professional mathematicians.

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Draxl, P. (Peter).
Skew fields.
Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1983
(DLC) 82022036
(OCoLC)8975480
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: P Draxl
ISBN: 9781107361003 1107361001
OCLC Number: 839305373
Description: 1 online resource (viii, 182 pages).
Contents: Preface; Conventions on terminology; Part I. Skew Fields and Simple Rings: 1. Some ad hoc results on skew fields; 2. Rings of matrices over skew fields; 3. Simple rings and Wedderburn's main theorem; 4. A short cut to tensor products; 5. Tensor products and algebras; 6. Tensor products and Galois theory; 7. Skolem-Noether theorem and Centralizer theorem; 8. The corestriction of algebras; Part II. Skew Fields and Brauer Groups: 9. Brauer groups over fields; 10. Cyclic algebras; 11. Power norm residue algebras; 12. Brauer groups and Galois cohomology; 13. The formalism of crossed products; 14. Quaternion algebras; 15. p-Algebras; 16. Skew fields with involution; 17. Brauer groups and K2-theory of fields; 18. A survey of some further results; Part III. Reduced K1-Theory of Skew Fields: 19. The Bruhat normal form; 20. The Dieudonne determinant; 21. The structure of SLn (D) for n â ¥ 2; 22. Reduced norms and traces; 23. The reduced Whitehead group SK1 (D) and Wang's theorem; 24. SK1 (D) â   1 for suitable D; Remarks on USK1 (D,I); Bibliography; Thesaurus; Index.
Series Title: London Mathematical Society lecture note series, 81.
Responsibility: P.K. Draxl.
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