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2 edition of Lannes" T functor on summands of H [superscript *] (B(Z/p) [superscript s]) found in the catalog.

Lannes" T functor on summands of H [superscript *] (B(Z/p) [superscript s])

Harris, John C.

Lannes" T functor on summands of H [superscript *] (B(Z/p) [superscript s])

by Harris, John C.

  • 166 Want to read
  • 11 Currently reading

Published by Dept. of Mathematics, University of Toronto in Toronto .
Written in English

    Subjects:
  • Categories (Mathematics),
  • Functor theory.

  • Edition Notes

    Includes bibliographical references.

    Statementby John C. Harris and R. James Shank.
    SeriesPreprint / University of Toronto, Dept. of Mathematics, Preprint (University of Toronto. Dept. of Mathematics)
    ContributionsShank, Robert James, 1961-
    Classifications
    LC ClassificationsQA169 .H378 1989
    The Physical Object
    Pagination34 leaves.
    Number of Pages34
    ID Numbers
    Open LibraryOL19136307M

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    Generic representation theory and Lannes’ T-functor, Adams Memorial Symp., Proc. Manchester, , L. M. S. Lecture Notes vol.2(), { (with Jeanne Du ot and Mark Winstead) A classi cation of polynomial algebras as modules over the . transvection t. Then t generates a cyclic group t > of order p. Moreover, by the characterization of the fundamental class in Section we have that t[F] = λ t[F] for some λ t ∈F×. Hence φ:t >−→F×, t 7→λ t is a group homorphism. Since t > has order p we find that λ t is a p-th root of unity and hence 1. •Page , Line 2.

    The paper used in this book is acid-free and falls within the guidelines VOLUME TRANSACTIONS OF THE A M E R I C A N M AT H E M AT I C A L S O C I E T Y EDITED BY Avner D. Ash James E. Baumgartner, Managing Editor Robert Bryant Sun-Yung A. Chang Lannes' T functor on summands of H* (B(Z/p)s) By JOHN C. HARRIS and R. JAMES SHANK. OK, I'm ignorant. I had no idea Jim Lehrer was an author. I just picked this up from the New Books section of the library. Turns out, it's his 20th book. What a bad former bookseller I am! The action takes place on a train called the Super Chief which traveled across the US /5.


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Lannes" T functor on summands of H [superscript *] (B(Z/p) [superscript s]) by Harris, John C. Download PDF EPUB FB2

The functor A^> A® H from % to ^ has a left adjoint T: % —> % constructed by Lannes [L]. He used T to reformulate the proofs of the above conjectures for elementary abelian p-groups and to prove the generalized Sullivan conjecture. In this paper we evaluate the T functor on the ^-summands of H®$, the tensor product of 5 copies of H.

J. Lannes. Sur la cohomologie modulo p des p -groups abelians elementaires. In Proc. Durham Symposium on Homotopy TheoryL. Author: John C. Harris, R. James Shank. By the Lannes–Schwartz classification theorem for U-injectives, we know that indecomposable injective reduced modules in the category U are precisely the indecomposable A p-module summands of H ⁎ B V for some V.

Recall now that Lannes' T-functor T: U → U is left adjoint to the functor given by tensoring with H ⁎ B Z / p in the category by: 3.

In this paper, we are interested in the action of Lannes' T-functor on K (U). Recall that the functor T from the category U to itself is defined to be left adjoint to the functor M ↦ M ⊗ H ⁎ V 1.

The functor T is exact and commutes with tensor : Nguyen Dang Ho Hai. The operator induced by Lannes' T-functor on K n red is diagonalizable over Q, with eigenvalues 1, p,p n − 1, p n and with multiplicities p n − p n − 1, p n − 1 − p n − 2,p − 1, 1, respectively.

We had earlier described in a ‘topological’ proof of TheoremCited by: 4. Lannes constructed a functor T: ν →ν which is left adjoint to the functor A → A⊗H. In this paper we evaluate T on the indecomposable ν-summands of H⊗s, the tensor product of 5 copies of : Hai Nguyen Dang.

Unstable modules and algebras. Free objects in the category u. Injective objects and representability. Injectivity of the mod 2 cohomology of elementary abelian group and Lannes’ functor T V. u/Nil and analytic functors by: 6. Let T be the functor on the category of unstable algebras over the Steenrod algebra constructed by Lannes.

We use an argument involving Kahler dierentials to show that T preserves polynomial alge Author: Dietrich Notbohm. Just a remark for the present. This is no inconsistency. There is a deeper sense behind that. After all these superscripts don't mark footnotes, but additional information regarding the authors.

You can see that in the way these marks are created, not with \footnote but with the \thanks command. So LaTeX does this in the correct way. Superscript operates under the premise that two heads are better than one.

Our network draws upon seasoned writers and editors, PhDs in anthropology, and savvy project managers. For each new project, we pull together the best people for the job to ensure perfect execution and delivery at every level. Our explicit formula involves the derived functors of destabilization as studied in the 's by W.

Singer, J. Lannes and S. Zarati, and P. Goerss. View Show abstractAuthor: Geoffrey Powell. Let H be the mod-p cohomology of the classifying space B(Z/p) thought of as an object in the category, U, of unstable modules over the Steenrod algebra.

WHOLE NUMBER RANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY EDITED BY Avner D. Ash The paper used in this book is acid-free and falls within the guidelines R.

James. Lannes' T functor on summands ofH*(B(Z/p)s), Hayashi, Mikihiro, Nakai, Mitsuru and Segawa, Shigeo. Bounded analytic functions on two sheeted. You can write a book review and share your experiences.

Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. We describe in this note a strategy for the proof of the following conjecture of Lionel Schwartz: the operator induced by Lannes' T-functor on the rational vector space is diagonalizable and has.

For further reference, we summarize the algebras that we have considered so far in Table J. Aguad C. Broto and D. Notbohm 3. COMPUTING LANNES T FUNCTOR Let T denote the Lannes functor defined as left adjoint to H Qx - in the category ill of unstable modules over the Steenrod algebra (see [17] for a full description of its properties).Cited by: Algebraic Topology Homotopy and Group Cohomology: Proceedings of the Barcelona Conference on Algebraic Topology, held in S.

Feliu de Guíxols, Spain, June 6–12, | Alejandro Adem (auth.), Jaume Aguadé, Manuel Castellet, Frederick Ronald Cohen (eds.) | download | B–OK. Download books for free. Find books. Recall that Lannes' T-functor is left adjoint to the tensoring with H:= [*]BZ/2 in the category U of unstable modules over the Steenrod algebra [11].

We need the following result, observed by Harris and Shank [8], to prove Proposition J. Frank Adams had a profound influence on algebraic topology, and his works continue to shape its development. The International Symposium on Algebraic Topology held in Manchester during July was dedicated to his memory, and virtually all of the world's leading experts took part.

Frank Adams had a profound influence on algebraic topology, and his work continues to shape its development. The International Symposium on Algebraic Topology held in Manchester during July was dedicated to his memory, and virtually all of the world's leading experts took part. Jean E.

Lannes (born 21 September in Pauligne) is a French mathematician, specializing in algebraic topology and homotopy theory. Lannes completed his secondary studies at the Lycée Louis-le-Grand in Paris and graduated in from the École Normale received his doctorate in from the University of Paris-Saclay (Paris 12).The book contains numerous examples to illustrate the theory, often of more than passing interest, and an appendix on commutative graded algebra, which provides some of the required basic background.

There is an extensive reference list to provide the reader with orientation to the vast literature.We study the (co)homology of a small category C with coefficients in bifunctors concentrated on two subcategories F −1 (2) and F −1 (0) where F: C →{0functor. Applying obtained formulas to the category of surjections of finite sets we recover some results on the Goodwillie tower of the identity functor obtained in Arone and Mahowald, Inventiones Math.

() – and Cited by: 5.