2,154 research outputs found

    The Fractal Structure of the Universal Steenrod Algebra: An Invariant-theoretic Description

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    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

    On the homology of the universal Steenrod algebra at odd primes

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    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

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    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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