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- W3147454734 abstract "We study modules over the commutative ring spectrum $Hmathbb F_2wedge Hmathbb F_2$, whose coefficient groups are quotients of the dual Steenrod algebra by collections of the Milnor generators. We show that very few of these quotients admit algebra structures, but those that do can be constructed simply: killing a generator $xi_k$ in the category of associative algebras freely kills the higher generators $xi_{k+n}$. Using new information about the conjugation operation in the dual Steenrod algebra, we also consider quotients by families of Milnor generators and their conjugates. This allows us to produce a family of associative $Hmathbb F_2wedge Hmathbb F_2$-algebras whose coefficient rings are finite-dimensional and exhibit unexpected duality features. We then use these algebras to give detailed computations of the homotopy groups of several modules over this ring spectrum." @default.
- W3147454734 created "2021-04-13" @default.
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- W3147454734 date "2021-03-26" @default.
- W3147454734 modified "2023-09-25" @default.
- W3147454734 title "Quotient rings of $Hmathbb{F}_2 wedge Hmathbb{F}_2$" @default.
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- W3147454734 doi "https://doi.org/10.48550/arxiv.2103.14707" @default.
- W3147454734 hasPublicationYear "2021" @default.
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