Stripping and conjugation in the mod $p$ Steenrod algebra and its dual
نویسندگان
چکیده
منابع مشابه
Invariant elements in the dual Steenrod algebra
In this paper, we investigate the invariant elements of the dual mod $p$ Steenrod subalgebra ${mathcal{A}_p}^*$ under the conjugation map $chi$ and give bounds on the dimensions of $(chi-1)({mathcal{A}_p}^*)_d$, where $({mathcal{A}_p}^*)_d$ is the dimension of ${mathcal{A}_p}^*$ in degree $d$.
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Global structure of the mod two symmetric algebra , H ∗ ( BO ; F 2 ) , over the Steenrod Algebra
The algebra S of symmetric invariants over the field with two elements is an unstable algebra over the Steenrod algebra A, and is isomorphic to the mod two cohomology of BO , the classifying space for vector bundles. We provide a minimal presentation for S in the category of unstable A-algebras, i.e., minimal generators and minimal relations. From this we produce minimal presentations for vario...
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Let Ps = F2 [x1, . . . , xs] be the mod 2 cohomology of the s-fold product of RP∞ with the usual structure as a module over the Steenrod algebra. A monomial in Ps is said to be hit if it is in the image of the action A ⊗ Ps → Ps where A is the augmentation ideal of A. We extend a result of Wood to determine a new family of hit monomials in Ps. We then use similar methods to obtain a generalizat...
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ژورنال
عنوان ژورنال: Homology, Homotopy and Applications
سال: 2000
ISSN: 1532-0073,1532-0081
DOI: 10.4310/hha.2000.v2.n1.a1