The first of two volumes covering the Steenrod algebra and its various applications. Suitable as a graduate text.
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Grant Walker was a senior lecturer in the School of Mathematics at the University of Manchester before his retirement in 2005.
Reginald M. W. Wood was a Professor in the School of Mathematics at the University of Manchester before his retirement in 2005.
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Paperback. Condition: New. This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's 'hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n,F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups. Seller Inventory # LU-9781108414487
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Paperback. Condition: new. Paperback. This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's 'hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n,F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups. This detailed two-volume reference on the Steenrod algebra and its various applications presents more than thirty years of research. Developing the structure of the Steenrod algebra from an algebraic viewpoint, this first volume is recommended for researchers or postgraduates in pure mathematics and can be used as a graduate textbook. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9781108414487
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Paperback. Condition: Brand New. 346 pages. 9.00x6.00x1.00 inches. In Stock. Seller Inventory # x-1108414486
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