Topological Methods in Galois Representation Theory

$24.95

Publication Date: 18th December 2013

This advanced monograph on Galois representation theory was written by one of the world's leading algebraists. Directed at mathematics students who have completed a graduate course in introductory algebraic topology, it offers a full treatment of the subject.
The first four chapters cover characteristic classes of Galois representations whose values lie in mod 2 Galois cohomology: abelian cohomology of groups, nonabelian cohomology of groups, characteristic classes of forms and algebras, and higher-dimensional characteristic classes of bilinear forms and Galois representations. S... Read More

34 in stock

This advanced monograph on Galois representation theory was written by one of the world's leading algebraists. Directed at mathematics students who have completed a graduate course in introductory algebraic topology, it offers a full treatment of the subject.
The first four chapters cover characteristic classes of Galois representations whose values lie in mod 2 Galois cohomology: abelian cohomology of groups, nonabelian cohomology of groups, characteristic classes of forms and algebras, and higher-dimensional characteristic classes of bilinear forms and Galois representations. S... Read More

Description

This advanced monograph on Galois representation theory was written by one of the world's leading algebraists. Directed at mathematics students who have completed a graduate course in introductory algebraic topology, it offers a full treatment of the subject.
The first four chapters cover characteristic classes of Galois representations whose values lie in mod 2 Galois cohomology: abelian cohomology of groups, nonabelian cohomology of groups, characteristic classes of forms and algebras, and higher-dimensional characteristic classes of bilinear forms and Galois representations. Subsequent chapters explore stable homotopy and induced representations, explicit Brauer induction theory, and applications of explicit Brauer induction to Artin root numbers and local root numbers.


Reprint of the John Wiley & Sons, New York, 1989 edition.
Details
  • Price: $24.95
  • Pages: 320
  • Publisher: Dover Publications
  • Imprint: Dover Publications
  • Series: Dover Books on Mathematics
  • Publication Date: 18th December 2013
  • Trim Size: 6.14 x 9.21 in
  • ISBN: 9780486493589
  • Format: Paperback
  • BISACs:
    MATHEMATICS / Number Theory
Author Bio
Victor P. Snaith is Professor Emeritus at the School of Mathematics and Statistics, University of Sheffield, United Kingdom. He is the author and editor of more than a dozen books, including Groups, Rings and Galois Theory.
Table of Contents
Preface
1. Abelian Cohomology of Groups
2. Nonabelian Cohomology of Groups
3. Characteristics Classes of Forms and Algebras
4. Higher-Dimensional Characteristic Classes of Bilinear Forms and Galois Representations
5. Stable Homotopy and Induced Representations
6. Explicit Brauer Induction Theory
7. Applications of Explicit Brauer Induction to Artin Root Numbers and Local Root Numbers
References
Index

This advanced monograph on Galois representation theory was written by one of the world's leading algebraists. Directed at mathematics students who have completed a graduate course in introductory algebraic topology, it offers a full treatment of the subject.
The first four chapters cover characteristic classes of Galois representations whose values lie in mod 2 Galois cohomology: abelian cohomology of groups, nonabelian cohomology of groups, characteristic classes of forms and algebras, and higher-dimensional characteristic classes of bilinear forms and Galois representations. Subsequent chapters explore stable homotopy and induced representations, explicit Brauer induction theory, and applications of explicit Brauer induction to Artin root numbers and local root numbers.


Reprint of the John Wiley & Sons, New York, 1989 edition.
  • Price: $24.95
  • Pages: 320
  • Publisher: Dover Publications
  • Imprint: Dover Publications
  • Series: Dover Books on Mathematics
  • Publication Date: 18th December 2013
  • Trim Size: 6.14 x 9.21 in
  • ISBN: 9780486493589
  • Format: Paperback
  • BISACs:
    MATHEMATICS / Number Theory
Victor P. Snaith is Professor Emeritus at the School of Mathematics and Statistics, University of Sheffield, United Kingdom. He is the author and editor of more than a dozen books, including Groups, Rings and Galois Theory.
Preface
1. Abelian Cohomology of Groups
2. Nonabelian Cohomology of Groups
3. Characteristics Classes of Forms and Algebras
4. Higher-Dimensional Characteristic Classes of Bilinear Forms and Galois Representations
5. Stable Homotopy and Induced Representations
6. Explicit Brauer Induction Theory
7. Applications of Explicit Brauer Induction to Artin Root Numbers and Local Root Numbers
References
Index