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portada Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of gl (N,F2) (London Mathematical Society Lecture Note Series)
Type
Physical Book
Year
2017
Language
English
Pages
378
Format
Paperback
Dimensions
23.4 x 16.3 x 2.2 cm
Weight
0.56 kg.
ISBN13
9781108414456
Edition No.
1
Categories

Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of gl (N,F2) (London Mathematical Society Lecture Note Series)

Grant Walker (Author) · Reginald M. W. Wood (Author) · Cambridge University Press · Paperback

Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of gl (N,F2) (London Mathematical Society Lecture Note Series) - Walker, Grant ; Wood, Reginald M. W.

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Synopsis "Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of gl (N,F2) (London Mathematical Society Lecture Note Series) "

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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