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Results tagged with steenrod-algebra
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user 2362
5
votes
1
answer
383
views
Why does the Steenrod algebra act faithfully on $H^\ast(BC_p)$?
Define the Steenrod algebra $A^\ast$ to be the algebra of all stable mod $p$ cohomology operations. Without actually computing $A^\ast$, is it possible to see that $A^\ast$ acts faithfully on $H^\ast( …
- 64k
10
votes
2
answers
343
views
What is an unstable dual-Steenrod comodule?
$\newcommand\Sq{\mathit{Sq}}$Recall that a (graded) module $V^\ast$ over the Steenrod algebra $\mathcal A^\ast$ is said to be unstable if $\Sq^i v = 0$ for $i > |v|$. The motivating example, of course …
- 64k
8
votes
2
answers
588
views
Derivations in the Steenrod algebra
Let $\mathcal A^\ast$ be the (mod 2) Steenrod algebra.
Question 1:
Is there a classification of homogeneous elements $D \in \mathcal A^n$ such that $D^2 = 0$?
Question 2: Is there a classification of …
- 64k