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Polynomials and the mod 2 Steenrod Algebra : Volume 2, Representations of GL (n,F2) - Grant Walker

Polynomials and the mod 2 Steenrod Algebra

Volume 2, Representations of GL (n,F2)

By: Grant Walker, Reginald M. W. Wood

eBook | 31 October 2017

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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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Non-FictionMathematicsTopologyAlgebraic TopologyAlgebraCombinatorics & Graph TheoryDiscrete Mathematics

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