Searching for Fractal Structures in the Universal Steenrod Algebra at Odd Primes

Searching for Fractal Structures in the Universal Steenrod Algebra at Odd Primes Unlike the $$p=2$$ p = 2 case, the universal Steenrod algebra $${\mathcal Q} (p) $$ Q ( p ) at odd primes does not have a fractal structure that preserves the length of monomials. Nevertheless, when p is odd, we detect inside $$\mathcal Q(p)$$ Q ( p ) two different families of nested subalgebras, each isomorphic (as length-graded algebras) to the respective starting element of the sequence. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mediterranean Journal of Mathematics Springer Journals

Searching for Fractal Structures in the Universal Steenrod Algebra at Odd Primes

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Publisher
Springer International Publishing
Copyright
Copyright © 2017 by Springer International Publishing AG
Subject
Mathematics; Mathematics, general
ISSN
1660-5446
eISSN
1660-5454
D.O.I.
10.1007/s00009-017-0986-7
Publisher site
See Article on Publisher Site

Abstract

Unlike the $$p=2$$ p = 2 case, the universal Steenrod algebra $${\mathcal Q} (p) $$ Q ( p ) at odd primes does not have a fractal structure that preserves the length of monomials. Nevertheless, when p is odd, we detect inside $$\mathcal Q(p)$$ Q ( p ) two different families of nested subalgebras, each isomorphic (as length-graded algebras) to the respective starting element of the sequence.

Journal

Mediterranean Journal of MathematicsSpringer Journals

Published: Aug 14, 2017

References

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