Determinantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. Their study has attracted many prominent researchers and has motivated the creat… Mehr…
Determinantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. Their study has attracted many prominent researchers and has motivated the creation of theories which may now be considered part of general commutative ring theory. The book gives a first coherent treatment of the structure of determinantal rings. The main approach is via the theory of algebras with straightening law. This approach suggest (and is simplified by) the simultaneous treatment of the Schubert subvarieties of Grassmannian. Other methods have not been neglected, however. Principal radical systems are discussed in detail, and one section is devoted to each of invariant and representation theory. While the book is primarily a research monograph, it serves also as a reference source and the reader requires only the basics of commutative algebra together with some supplementary material found in the appendix. The text may be useful for seminars following a course in commutative ring theory since a vast number of notions, results, and techniques can be illustrated significantly by applying them to determinantal rings. Books > Mathematics eBook, Springer Shop<
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Determinantal Rings ab 53.49 € als pdf eBook: . Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik, Medien > Bücher, Determinantal Rings - eBook als pdf von Winfried Bruns/ Ud… Mehr…
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Determinantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. Their study has attracted many prominent researchers and has motivated the creat… Mehr…
Determinantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. Their study has attracted many prominent researchers and has motivated the creation of theories which may now be considered part of general commutative ring theory. The book gives a first coherent treatment of the structure of determinantal rings. The main approach is via the theory of algebras with straightening law. This approach suggest (and is simplified by) the simultaneous treatment of the Schubert subvarieties of Grassmannian. Other methods have not been neglected, however. Principal radical systems are discussed in detail, and one section is devoted to each of invariant and representation theory. While the book is primarily a research monograph, it serves also as a reference source and the reader requires only the basics of commutative algebra together with some supplementary material found in the appendix. The text may be useful for seminars following a course in commutative ring theory since a vast number of notions, results, and techniques can be illustrated significantly by applying them to determinantal rings. Books > Mathematics eBook, Springer Shop<
new in stock. Versandkosten:zzgl. Versandkosten. (EUR 0.00)
Determinantal Rings ab 53.49 € als pdf eBook: . Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik, Medien > Bücher, Determinantal Rings - eBook als pdf von Winfried Bruns/ Ud… Mehr…
Determinantal Rings ab 53.49 € als pdf eBook: . Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik, Medien > Bücher, Determinantal Rings - eBook als pdf von Winfried Bruns/ Udo Vetter - Springer Berlin Heidelberg - 9783540392743<
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EAN (ISBN-13): 9783540392743 Herausgeber: Springer Science+Business Media
Buch in der Datenbank seit 2017-03-30T12:37:49+02:00 (Zurich) Detailseite zuletzt geändert am 2024-02-03T19:53:11+01:00 (Zurich) ISBN/EAN: 9783540392743
ISBN - alternative Schreibweisen: 978-3-540-39274-3 Alternative Schreibweisen und verwandte Suchbegriffe: Autor des Buches: udo, vetter vetter
Daten vom Verlag:
Autor/in: Winfried Bruns; Udo Vetter Titel: Lecture Notes in Mathematics; Determinantal Rings Verlag: Springer; Springer Berlin 240 Seiten Erscheinungsjahr: 2006-11-14 Berlin; Heidelberg; DE Sprache: Englisch 53,49 € (DE) 55,00 € (AT) 59,00 CHF (CH) Available VIII, 240 p.
EA; E107; eBook; Nonbooks, PBS / Mathematik/Arithmetik, Algebra; Gruppen und Gruppentheorie; Verstehen; algebra; commutative algebra; commutative ring; representation theory; ring theory; B; Group Theory and Generalizations; Topological Groups and Lie Groups; Mathematics and Statistics; BC
Preliminaries.- Ideals of maximal minors.- Generically perfect ideals.- Algebras with straightening law on posets of minors.- The structure of an ASL.- Integrity and normality. The singular locus.- Generic points and invariant theory.- The divisor class group and the canonical class.- Powers of ideals of maximal minors.- Primary decomposition.- Representation theory.- Principal radical systems.- Generic modules.- The module of Kähler differentials.- Derivations and rigidity.
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