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Introduction to Affine Group Schemes - W. C. Waterhouse
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W. C. Waterhouse:

Introduction to Affine Group Schemes - encadernada, livro de bolso

1979, ISBN: 0387904212

[EAN: 9780387904214], Neubuch, [PU: Springer New York Nov 1979], MATHEMATIK; ABELIANGROUP; ALGEBRA; ALGEBRAICSTRUCTURE; DERIVATION; FINITE; GRUPPENSCHEMA; INVARIANT; MORPHISM; TOPOLOGY; F… mais…

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W. C. Waterhouse:

Introduction to Affine Group Schemes - encadernada, livro de bolso

1979, ISBN: 0387904212

[EAN: 9780387904214], Neubuch, [SC: 35.55], [PU: Springer New York], MATHEMATIK; ABELIANGROUP; ALGEBRA; ALGEBRAICSTRUCTURE; DERIVATION; FINITE; GRUPPENSCHEMA; INVARIANT; MORPHISM; TOPOLOG… mais…

NEW BOOK. Custos de envio: EUR 35.55 AHA-BUCH GmbH, Einbeck, Germany [51283250] [Rating: 5 (von 5)]
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Waterhouse, W. C.:
Introduction to Affine Group Schemes - encadernada, livro de bolso

1979

ISBN: 0387904212

1979 Gebundene Ausgabe Mathematik, Gruppen und Gruppentheorie, Abeliangroup; Algebra; Algebraicstructure; Derivation; Finite; Gruppenschema; Invariant; Morphism; Topology; Function; pro… mais…

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W.C. Waterhouse:
Introduction to Affine Group Schemes - Livro de bolso

ISBN: 9780387904214

*Introduction to Affine Group Schemes* - Auflage 1979 / gebundene Ausgabe für 90.99 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher nein Buch (gebunden) Hardcover;Na… mais…

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Waterhouse, W.C.:
Introduction to Affine Group Schemes - livro usado

1979, ISBN: 9780387904214

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Introduction to Affine Group Schemes

Ah Love! Could you and I with Him consl?ire To grasp this sorry Scheme of things entIre' KHAYYAM People investigating algebraic groups have studied the same objects in many different guises. My first goal thus has been to take three different viewpoints and demonstrate how they offer complementary intuitive insight into the subject. In Part I we begin with a functorial idea, discussing some familiar processes for constructing groups. These turn out to be equivalent to the ring-theoretic objects called Hopf algebras, with which we can then con­ struct new examples. Study of their representations shows that they are closely related to groups of matrices, and closed sets in matrix space give us a geometric picture of some of the objects involved. This interplay of methods continues as we turn to specific results. In Part II, a geometric idea (connectedness) and one from classical matrix theory (Jordan decomposition) blend with the study of separable algebras. In Part III, a notion of differential prompted by the theory of Lie groups is used to prove the absence of nilpotents in certain Hopf algebras. The ring-theoretic work on faithful flatness in Part IV turns out to give the true explanation for the behavior of quotient group functors. Finally, the material is connected with other parts of algebra in Part V, which shows how twisted forms of any algebraic structure are governed by its automorphism group scheme.

Dados detalhados do livro - Introduction to Affine Group Schemes


EAN (ISBN-13): 9780387904214
ISBN (ISBN-10): 0387904212
Livro de capa dura
Livro de bolso
Ano de publicação: 2007
Editor/Editora: Springer New York
180 Páginas
Peso: 0,438 kg
Língua: eng/Englisch

Livro na base de dados desde 2008-02-23T03:59:50-03:00 (Sao Paulo)
Página de detalhes modificada pela última vez em 2024-02-16T11:20:07-03:00 (Sao Paulo)
Número ISBN/EAN: 0387904212

Número ISBN - Ortografia alternativa:
0-387-90421-2, 978-0-387-90421-4
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: waterhouse william
Título do livro: introduction affine group schemes, äffin, group zero, graduate text mathematics, the group, waterhouse, graduate texts mathematics


Dados da editora

Autor: W.C. Waterhouse
Título: Graduate Texts in Mathematics; Introduction to Affine Group Schemes
Editora: Springer; Springer US
164 Páginas
Ano de publicação: 1979-11-13
New York; NY; US
Língua: Inglês
90,94 € (DE)
93,49 € (AT)
100,50 CHF (CH)
Available
XII, 164 p.

BB; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Gruppen und Gruppentheorie; Verstehen; Abelian group; Algebra; Algebraic structure; Derivation; Finite; Gruppenschema; Invariant; Morphism; Topology; function; proof; theorem; Group Theory and Generalizations; Algebra; Algebra; BC

I The Basic Subject Matter.- 1 Affine Group Schemes.- 2 Affine Group Schemes: Examples.- 3 Representations.- 4 Algebraic Matrix Groups.- II Decomposition Theorems.- 5 Irreducible and Connected Components.- 6 Connected Components and Separable Algebras.- 7 Groups of Multiplicative Type.- 8 Unipotent Groups.- 9 Jordan Decomposition.- 10 Nilpotent and Solvable Groups.- III The Infinitesimal Theory.- 11 Differentials.- 12 Lie Algebras.- IV Faithful Flatness and Quotients.- 13 Faithful Flatness.- 14 Faithful Flatness of Hopf Algebras.- 15 Quotient Maps.- 16 Construction of Quotients.- V Descent Theory.- 17 Descent Theory Formalism.- 18 Descent Theory Computations.- Appendix: Subsidiary Information.- A.1 Directed Sets and Limits.- A.2 Exterior Powers.- A.3 Localization. Primes, and Nilpotents.- A.4 Noetherian Rings.- A.5 The Hilbert Basis Theorem.- A.6 The Krull Intersection Theorem.- A.7 The Nocthcr Normalization Lemma.- A.8 The Hilbert Nullstellensatz.- A.9 Separably Generated Fields.- A.10 Rudimentary Topological Terminology.- Further Reading.- Index of Symbols.

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