2011.111: Endomorphisms of the Steenrod algebra and of its odd subalgebra
2011.111: Robert Sandling (2011) Endomorphisms of the Steenrod algebra and of its odd subalgebra.
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We characterise those algebra endomorphisms of the Steenrod algebra over the field of two elements, and those of its odd subalgebra, which send Steenrod squares to Steenrod squares or to 0. Two such maps appear in the literature, an epimorphism of the Steenrod algebra in the book of Steenrod and Epstein which halves superscripts on Steenrod squares and a monomorphism of the odd subalgebra in a paper of Monks. In the latter context a new map, an epimorphism, arises which has contrasting features to those of the endomorphism of Monks. Formulae for the endomorphisms are indicated both for the admissible and the Milnor bases.
|Item Type:||MIMS Preprint|
|Subjects:||MSC 2000 > 16 Associative rings and algebras|
MSC 2000 > 55 Algebraic topology
|Deposited By:||Dr Robert Sandling|
|Deposited On:||16 December 2011|