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1.

図書

図書
Dagmar Meyer and Larry Smith
出版情報: Cambridge ; New York : Cambridge University Press, 2005  vi, 193 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 167
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Introduction
Poincare duality quotients / Part I:
Poincare duality, Gorenstein algebras, and irreducible ideals / I.1:
Properties of irreducible ideals / I.2:
The ancestor ideals / I.3:
Fundamental classes / I.4:
Poincare duality quotients of F[V] / I.5:
Counting Poincare duality quotients up to isomorphism / I.6:
Macaulay's dual systems and Frobenius powers / Part II:
Divided power algebras and operations / II.1:
Macaulay's dual principal systems / II.2:
An illustrative example / II.3:
Relation to the classical form problem / II.4:
The K [subset or is implied by] L Paradigm: a computational tool / II.5:
Frobenius powers / II.6:
Poincare duality and the Steenrod algebra / Part III:
P*-Unstable Poincare duality quotients of F[subscript q] [V] / III.1:
The P*-Double Annihilator Theorem / III.2:
Wu classes / III.3:
P*-Indecomposables: Hit Problems / III.4:
A dual interpretation of the P*-Double Annihilator Theorem / III.5:
Steenrod operations and Frobenius powers / III.6:
Examples / III.7:
Dickson, symmetric, and other coinvariants / Part IV:
Dickson coinvariants / IV.1:
Wu classes of algebras of coinvariants / IV.2:
The Macaulay dual of Dickson coinvariants mod 2 / IV.3:
Symmetric coinvariants / IV.4:
The Hit Problem mod 2 / Part V:
Powers of Dickson polynomials in 2 variables / V.1:
A*-Indecomposable elements in F[subscript 2] [x, y] / V.2:
Powers of Dickson polynomials in 3 variables / V.3:
Powers of Dickson polynomials in many variables / V.4:
Powers of mod 2 Stiefel-Whitney classes in 3 variables / V.5:
Macaulay's inverse systems and applications / Part VI:
Macaulay's inverse principal systems / VI.1:
Catalecticant Matrices and Ancestor Ideals / VI.2:
Regular ideals / VI.3:
Lying over for irreducible ideals / VI.4:
Change of rings and inverse polynomials / VI.5:
Inverse systems and the Steenrod algebra / VI.6:
Change of Rings and Wu Classes / VI.7:
The Hit Problem for the Dickson and other algebras / VI.8:
References
Notation
Index
Introduction
Poincare duality quotients / Part I:
Poincare duality, Gorenstein algebras, and irreducible ideals / I.1:
2.

図書

図書
H.R. Margolis
出版情報: Amsterdam ; New York : North-Holland , New York, NY : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1983  xix, 489 p. ; 23 cm
シリーズ名: North-Holland mathematical library ; v. 29
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3.

図書

図書
Lionel Schwartz
出版情報: Chicago : University of Chicago Press, c1994  x, 229 p. ; 21 cm
シリーズ名: Chicago lectures in mathematics
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Introduction
Frequently used notation
Recollections of the Steenrod algebra and unstable A-modules / Part 11:
Algebraic Brown-Gitler technology / 2:
U-Injectivity of the mod p cohomology of elementary abelian p-groups and Lannes' functor TV / 3:
The structure of indecomposable reduced U-injectives / Part 24:
The category U/Nil, analytic functors, and representations of the symmetric groups6. Subcategories of U / 5:
Non-Abelian homological algebra and Andreacute;-Quillen cohomology8. On homotopy classes of maps from BV / Part 37:
The generalized Sullivan conjecture and the cohomology of mapping spaces / 9:
References
Index of notation
Index
Introduction
Frequently used notation
Recollections of the Steenrod algebra and unstable A-modules / Part 11:
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