Poincar??? duality algebras originated in the work of topologists on the cohomology of closed manifolds, and Macaulay's dual systems in the study of irreducible ideals in polynomial algebras. These two ideas are tied together using basic commutative algebra involving Gorenstein algebras. Steenrod operations also originated in algebraic topology, but may best be viewed as a means of encoding the information often hidden behind the Frobenius map in characteristic p 0. They provide a noncommutative tool to study commutative ...
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Poincar??? duality algebras originated in the work of topologists on the cohomology of closed manifolds, and Macaulay's dual systems in the study of irreducible ideals in polynomial algebras. These two ideas are tied together using basic commutative algebra involving Gorenstein algebras. Steenrod operations also originated in algebraic topology, but may best be viewed as a means of encoding the information often hidden behind the Frobenius map in characteristic p 0. They provide a noncommutative tool to study commutative algebras over a Galois field. In this Tract the authors skilfully bring together these ideas and apply them to problems in invariant theory. A number of remarkable and unexpected interdisciplinary connections are revealed that will interest researchers in the areas of commutative algebra, invariant theory or algebraic topology.
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Fine in Good+ dust jacket. 0521850649. Dust jacket half puckered from a sizeable dampstain. It fits nicely flat on book.; 8vo 8"-9" tall; 202 pp; Cambridge Tracts In Mathematics, Series Number 167.
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New. Print on demand Contains: Line drawings, Tables, Unspecified. Cambridge Tracts in Mathematics . 5 b/w illus. 5 tables. Intended for professional and scholarly audience.
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New. 202 p. Cambridge Tracts in Mathematics . Worked examples or Exercises; 5 Tables, unspecified; 5 Line drawings, unspecified. Intended for professional and scholarly audience.
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Seller's Description:
New. Contains: Line drawings, Tables, Unspecified. Cambridge Tracts in Mathematics . 5 b/w illus. 5 tables. Intended for professional and scholarly audience.