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Polynomials and the mod 2 Steenrod Algebra (London Mathematical Society Lecture Note Series) (in English)
Grant Walker
(Author)
·
Reginald M. W. Wood
(Author)
·
Cambridge University Press
· Paperback
Polynomials and the mod 2 Steenrod Algebra (London Mathematical Society Lecture Note Series) (in English) - Walker, Grant ; Wood, Reginald M. W.
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Synopsis "Polynomials and the mod 2 Steenrod Algebra (London Mathematical Society Lecture Note Series) (in English)"
This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's 'hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n, F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups
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The book is written in English.
The binding of this edition is Paperback.
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