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Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations by Dagmar M. Meyer (Georg-August-Universität, Göttingen, Germany) at Abbey's Bookshop,
Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations
— —
Dagmar M. Meyer (Georg-August-Universität, Göttingen, Germany) Larry Smith (Georg-August-Universität, Göttingen, Germany)

Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations

Dagmar M. Meyer (Georg-August-Universität, Göttingen, Germany),  Larry Smith (Georg-August-Universität, Göttingen, Germany)

$203.95

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English
Cambridge University Press
06 October 2005
Algebraic topology
Series: Cambridge Tracts in Mathematics
Poincaré 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.
By:   , , ,
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Volume:   167
Dimensions:   Height: 236mm,  Width: 160mm,  Spine: 21mm
Weight:   457g
ISBN:   9780521850643
ISBN 10:   0521850649
Series:   Cambridge Tracts in Mathematics
Pages:   202
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active

Dagmar Meyer is Assistant Professor of Mathematics at Mathematiches Institut der Georg-August-Universität. Larry Smith is a Professor of Mathematics at Mathematiches Institut der Georg-August-Universität.

Reviews for Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations

'Besides the wealth of interesting results the greatest strength of the book is the many examples included which illustrate how the abstract structural results yeild effective computational tools.' Zentralblatt MATH


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