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: |
Properties of irreducible ideals / I.2: |
The ancestor ideals / I.3: |
Fundamental classes / I.4: |