Details

Autor(en) / Beteiligte

• Walker, Grant
• Wood, Reginald M. W

Titel

Polynomials and the mod 2 Steenrod Algebra. Volume 2. Representations of GL (n,F2)

Ist Teil von

• Polynomials and the mod 2 Steenrod Algebra (Alle Bände)
• London Mathematical Society lecture note series : 442 (Alle Bände)

Erscheinungsjahr

[2018]

Link zum Volltext

• Cambridge University Press online books

  URL des Erstveröffentlichers

Link zu anderen Inhalten

• Volltext

Verknüpfte Titel

Beschreibungen/Notizen

• 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