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.
Full Download Polynomials and the mod 2 Steenrod Algebra: Volume 1, The Peterson Hit Problem (London Mathematical Society Lecture Note Series) - Grant Walker file in PDF
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29 mar 2021 these results are used to study the singer algebraic transfer which is a homomorphism from the homology of the mod-2 steenrod algebra, torak.
1 the peterson hit problem, volume 441 of london mathematical society lecture note series.
Ext(m,f_2) for a number of modules m over the mod 2 steenrod algebra.
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-generators for the polynomial algebra of five variables in degree. Đv phúc on the hit problem for the algebra as a module over the mod-2 steenrod algebra.
Steenrod is a maple package for doing computations in the mod 2 steenrod computes the action of the elements on polynomials, and does several other.
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