2,154 research outputs found
On unstable modules over the Dickson algebra, the Singer functors R_s and the functors Fix_s. Author: Powell, Geoffrey M. L. MR3020213
Un complexe de Koszul de modules instables et cohomotopie d'un spectre de Thom. (French) [A Koszul complex of unstable modules and cohomotopy of a Thom spectrum]. Author: Hai, Nguyen Dang Ho. MR2950181
The Fractal Structure of the Universal Steenrod Algebra: An Invariant-theoretic Description
As recently observed by the second author, the mod2 universal
Steenrod algebra Q has a fractal structure given by a system of nested
subalgebras Qs, for s > N, each isomorphic to Q. In the present paper
we provide an alternative presentation of the subalgebras Qs through
suitable derivations s, and give an invariant-theoretic description of
them
Review MR4378075 del lavoro: Sam, Steven V.; Snowden, Andrew \roman{Sp}-equivariant modules over polynomial rings in infinitely many variables. Trans. Amer. Math. Soc. 375 (2022), no. 3, 1671--1701.
Review MR4289050 del lavoro "Braun, Lukas Invariant rings of sums of fundamental representations of and colored hypergraphs. Adv. Math. 389 (2021), Paper No. 107929, 34 pp."
On the homology of the universal Steenrod algebra at odd primes
We give an explicit description of the homology H∗(Q) of the universal
Steenrod algebra Q for any odd prime p, extending the work done for the p = 2 case.
We also exhibit an isomorphism with a certain coalgebra of invariants
The complete Steenrod algebra at odd primes
We study the complete Steenrod algebra Aˆ for an odd prime p and its
relations with the generalized Dickson algebra on infinitely many generators, as a
Z[ 1
p ]-graded algebra
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