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Polynomials and the mod 2 Steenrod Algebra: Volume 1, The Peterson Hit Problem (Paperback)
Loot Price: R2,442
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Polynomials and the mod 2 Steenrod Algebra: Volume 1, The Peterson Hit Problem (Paperback)
Series: London Mathematical Society Lecture Note Series
Expected to ship within 12 - 17 working days
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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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