Affine Sets And Affine Groups
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Affine Sets And Affine Groups
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Author : D. G. Northcott
language : en
Publisher: Cambridge University Press
Release Date : 1980-05-08
Affine Sets And Affine Groups written by D. G. Northcott and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-05-08 with Mathematics categories.
In these notes, first published in 1980, Professor Northcott provides a self-contained introduction to the theory of affine algebraic groups for mathematicians with a basic knowledge of communicative algebra and field theory. The book divides into two parts. The first four chapters contain all the geometry needed for the second half of the book which deals with affine groups. Alternatively the first part provides a sure introduction to the foundations of algebraic geometry. Any affine group has an associated Lie algebra. In the last two chapters, the author studies these algebras and shows how, in certain important cases, their properties can be transferred back to the groups from which they arose. These notes provide a clear and carefully written introduction to algebraic geometry and algebraic groups.
Affine Sets And Affine Groups
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Author : Douglas Geoffrey Northcott
language : en
Publisher:
Release Date : 1980
Affine Sets And Affine Groups written by Douglas Geoffrey Northcott and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Geometry, Affine categories.
A self-contained introduction to the theory of affine algebraic groups for mathematicians with a basic knowledge of communicative algebra and field theory.
Introduction To Affine Group Schemes
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Author : W.C. Waterhouse
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Introduction To Affine Group Schemes written by W.C. Waterhouse and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Introduction To Affine Group Schemes
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Author : William C. Waterhouse
language : en
Publisher:
Release Date : 1979-01-01
Introduction To Affine Group Schemes written by William C. Waterhouse and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-01-01 with Group schemes (Mathematics) categories.
On Linear Representations Of Affine Groups
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Author : Manfred Bernd Wischnewsky
language : en
Publisher:
Release Date : 1975
On Linear Representations Of Affine Groups written by Manfred Bernd Wischnewsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Categories (Mathematics) categories.
Groups Difference Sets And The Monster
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Author : K. T. Arasu
language : en
Publisher: Walter de Gruyter
Release Date : 1996
Groups Difference Sets And The Monster written by K. T. Arasu and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
No detailed description available for "Groups, Difference Sets, and the Monster".
Representations Of Affine Hecke Algebras
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Author : Nanhua Xi
language : en
Publisher: Springer
Release Date : 2006-11-15
Representations Of Affine Hecke Algebras written by Nanhua Xi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Kazhdan and Lusztig classified the simple modules of an affine Hecke algebra Hq (q E C*) provided that q is not a root of 1 (Invent. Math. 1987). Ginzburg had some very interesting work on affine Hecke algebras. Combining these results simple Hq-modules can be classified provided that the order of q is not too small. These Lecture Notes of N. Xi show that the classification of simple Hq-modules is essentially different from general cases when q is a root of 1 of certain orders. In addition the based rings of affine Weyl groups are shown to be of interest in understanding irreducible representations of affine Hecke algebras. Basic knowledge of abstract algebra is enough to read one third of the book. Some knowledge of K-theory, algebraic group, and Kazhdan-Lusztig cell of Cexeter group is useful for the rest
Handbook Of Mathematics
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Author : Thierry Vialar
language : en
Publisher: BoD - Books on Demand
Release Date : 2016-12-07
Handbook Of Mathematics written by Thierry Vialar and has been published by BoD - Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-07 with Mathematics categories.
The book consists of XI Parts and 28 Chapters covering all areas of mathematics. It is a tool for students, scientists, engineers, students of many disciplines, teachers, professionals, writers and also for a general reader with an interest in mathematics and in science. It provides a wide range of mathematical concepts, definitions, propositions, theorems, proofs, examples, and numerous illustrations. The difficulty level can vary depending on chapters, and sustained attention will be required for some. The structure and list of Parts are quite classical: I. Foundations of Mathematics, II. Algebra, III. Number Theory, IV. Geometry, V. Analytic Geometry, VI. Topology, VII .Algebraic Topology, VIII. Analysis, IX. Category Theory, X. Probability and Statistics, XI. Applied Mathematics. Appendices provide useful lists of symbols and tables for ready reference. The publisher’s hope is that this book, slightly revised and in a convenient format, will serve the needs of readers, be it for study, teaching, exploration, work, or research.
Introduction To Affine Algebraic Groups
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Author : Gerhard Paul Hochschild
language : en
Publisher:
Release Date : 1971
Introduction To Affine Algebraic Groups written by Gerhard Paul Hochschild and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.
An Introduction To Algebraic Geometry And Algebraic Groups
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Author : Meinolf Geck
language : en
Publisher: Oxford University Press
Release Date : 2003-11-13
An Introduction To Algebraic Geometry And Algebraic Groups written by Meinolf Geck and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-13 with Mathematics categories.
An accessible text introducing algebraic groups at advanced undergraduate and early graduate level, this book covers the conjugacy of Borel subgroups and maximal tori, the theory of algebraic groups with a BN-pair, Frobenius maps on affine varieties and algebraic groups, zeta functions and Lefschetz numbers for varieties over finite fields. The text contains numerous examples and proofs along with exercises and hints.