Sheared Algebra Maps and Operation Bialgebras for Mod 2 Homology and Cohomology
نویسندگان
چکیده
The mod 2 Steenrod algebra A and Dyer-Lashof algebra R have both striking similarities and differences, arising from their common origins in “lower-indexed” algebraic operations. These algebraic operations and their relations generate a bigraded bialgebra K, whose module actions are equivalent to, but quite different from, those of A and R. The exact relationships emerge as “sheared algebra bijections”, which also illuminate the role of the cohomology of K. As a bialgebra, K∗ has a particularly attractive and potentially useful structure, providing a bridge between those of A∗ and R∗, and suggesting possible applications to the Miller spectral sequence and the A structure of Dickson algebras.
منابع مشابه
A note on the new basis in the mod 2 Steenrod algebra
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