| 000 | 02618nam a22003978i 4500 | ||
|---|---|---|---|
| 001 | CR9780511542855 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160240.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 090505s2005||||enk o ||1 0|eng|d | ||
| 020 | _a9780511542855 (ebook) | ||
| 020 | _z9780521850643 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA612.782 _b.M49 2005 |
| 082 | 0 | 4 |
_a514.2 _222 |
| 100 | 1 |
_aMeyer, Dagmar M., _eauthor. |
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| 245 | 1 | 0 |
_aPoincaré duality algebras, Macaulay's dual systems, and Steenrod operations / _cDagmar M. Meyer and Larry Smith. |
| 246 | 3 | _aPoincaré Duality Algebras, Macaulay's Dual Systems, & Steenrod Operations | |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2005. |
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| 300 |
_a1 online resource (vi, 193 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aCambridge tracts in mathematics ; _v167 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 505 | 0 | _aIntroduction -- Part I. Poincare Duality Quotients -- Part II. Macaulay's Dual Systems and Frobenius Powers -- Part III. Poincaré Duality and the Steenrod Algebra -- Part IV. Dickson, Symmetric, and Other Coinvariants -- Part V. The Hit Problem mod 2 -- Part VI. Macaulay's Inverse Systems and Applications. | |
| 520 | _aPoincaré 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. | ||
| 650 | 0 | _aPoincaré series. | |
| 650 | 0 | _aDuality theory (Mathematics) | |
| 650 | 0 | _aSteenrod algebra. | |
| 700 | 1 |
_aSmith, L. _q(Larry), _d1942- _eauthor. |
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| 776 | 0 | 8 |
_iPrint version: _z9780521850643 |
| 830 | 0 |
_aCambridge tracts in mathematics ; _v167. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511542855 |
| 999 |
_c518412 _d518410 |
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