On the Realization of Certain Modules over the Steenrod Algebra.
نویسندگان
چکیده
منابع مشابه
Unstable modules over the Steenrod algebra revisited
A new and natural description of the category of unstable modules over the Steenrod algebra as a category of comodules over a bialgebra is given; the theory extends and unifies the work of Carlsson, Kuhn, Lannes, Miller, Schwartz, Zarati and others. Related categories of comodules are studied, which shed light upon the structure of the category of unstable modules at odd primes. In particular, ...
متن کاملAlgebra over the Steenrod Algebra, Lambda-ring, and Kuhn’s Realization Conjecture
In this paper we study the relationships between operations in K-theory and ordinary mod p cohomology. In particular, conditions are given under which the mod p associated graded ring of a filtered λ-ring is an unstable algebra over the Steenrod algebra. This result partially extends to the algebraic setting a topological result of Atiyah about operations on K-theory and mod p cohomology for to...
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Let $mathcal{A}_p$ be the mod $p$ Steenrod algebra, where $p$ is an odd prime, and let $mathcal{A}$ be the subalgebra $mathcal{A}$ of $mathcal{A}_p$ generated by the Steenrod $p$th powers. We generalize the $X$-basis in $mathcal{A}$ to $mathcal{A}_p$.
متن کاملTruncated Polynomial Algebras over the Steenrod Algebra
MOHAMED ALI It is shown that the classification of polynomial algebras over the mod p Steenrod algebra is an essentially different problem from the classification of polynomial algebras truncated at height greater than p over the Steenrod algebra . 0 . Introduction . Let B = Zp[y2n y2n2, . . . , y2n,] be a polynomial algebra over A(p), the mod p Steenrod algebra, where yen ; has dimension 2ni a...
متن کاملRealizing Coalgebras over the Steenrod Algebra
We describe algebraic obstruction theories for realizing an abstract (co)algebra K∗ over the mod p Steenrod algebra as the (co)homology of a topological space, and for distinguishing between the p-homotopy types of different realizations. The theories are expressed in terms of the Quillen cohomology of K∗.
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1972
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-11427