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Author: John McCleary
Publisher: Cambridge University Press
ISBN: 1009158120
Category : Mathematics
Languages : en
Pages : 246
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Book Description
An undergraduate text with an active learning approach introducing representation theory and Galois theory topics using group actions.
Author: John McCleary
Publisher: Cambridge University Press
ISBN: 1009158120
Category : Mathematics
Languages : en
Pages : 246
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Book Description
An undergraduate text with an active learning approach introducing representation theory and Galois theory topics using group actions.
Author: Walter Ricardo Ferrer Santos
Publisher: CRC Press
ISBN: 1482239167
Category : Mathematics
Languages : en
Pages : 480
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Book Description
Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceeding towards more sophisticated dimensions." Building on the first edition, this book provides an introduction to the theory by equipping the reader with the tools needed to read advanced research in the field. Beginning with commutative algebra, algebraic geometry and the theory of Lie algebras, the book develops the necessary background of affine algebraic groups over an algebraically closed field, and then moves toward the algebraic and geometric aspects of modern invariant theory and quotients.
Author: Marcos M. Alexandrino
Publisher: Springer
ISBN: 3319166131
Category : Mathematics
Languages : en
Pages : 215
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Book Description
This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise geometric approach. After a gentle introduction to the subject, some of its recent applications to active research areas are explored, keeping a constant connection with the basic material. The topics discussed include polar actions, singular Riemannian foliations, cohomogeneity one actions, and positively curved manifolds with many symmetries. This book stems from the experience gathered by the authors in several lectures along the years and was designed to be as self-contained as possible. It is intended for advanced undergraduates, graduate students and young researchers in geometry and can be used for a one-semester course or independent study.
Author: Walter Ricardo Ferrer Santos
Publisher: CRC Press
ISBN: 1351644777
Category : Mathematics
Languages : en
Pages : 709
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Book Description
Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceeding towards more sophisticated dimensions." Building on the first edition, this book provides an introduction to the theory by equipping the reader with the tools needed to read advanced research in the field. Beginning with commutative algebra, algebraic geometry and the theory of Lie algebras, the book develops the necessary background of affine algebraic groups over an algebraically closed field, and then moves toward the algebraic and geometric aspects of modern invariant theory and quotients.
Author: Nikolaus Vonessen
Publisher: American Mathematical Soc.
ISBN: 0821824775
Category : Mathematics
Languages : en
Pages : 114
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Book Description
This very interesting monograph straddles two well-studied areas--invariant theory of commutative rings, and the theory of a fixed (noncommutative) ring under a finite group of automorphisms. The author develops a new theory--the fixed subring of a polynomial identity algebra under a linear algebraic group of automorphisms.
Author: Adrian Ocneanu
Publisher: Springer
ISBN: 3540395792
Category : Mathematics
Languages : en
Pages : 120
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Book Description
Author: Alcides Buss
Publisher: American Mathematical Society
ISBN: 1470471523
Category : Mathematics
Languages : en
Pages : 100
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Book Description
View the abstract.
Author: Walter Ferrer Santos
Publisher: CRC Press
ISBN: 1420030795
Category : Mathematics
Languages : en
Pages : 472
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Book Description
Actions and Invariants of Algebraic Groups presents a self-contained introduction to geometric invariant theory that links the basic theory of affine algebraic groups to Mumford's more sophisticated theory. The authors systematically exploit the viewpoint of Hopf algebra theory and the theory of comodules to simplify and compactify many of the rele
Author: Mahir Bilen Can
Publisher: American Mathematical Soc.
ISBN: 1470426013
Category : Mathematics
Languages : en
Pages : 306
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Book Description
This volume contains the proceedings of the 2015 Clifford Lectures on Algebraic Groups: Structures and Actions, held from March 2–5, 2015, at Tulane University, New Orleans, Louisiana. This volume consists of six articles on algebraic groups, including an enhanced exposition of the classical results of Chevalley and Rosenlicht on the structure of algebraic groups; an enhanced survey of the recently developed theory of pseudo-reductive groups; and an exposition of the recently developed operational -theory for singular varieties. In addition, there are three research articles containing previously unpublished foundational results on birational automorphism groups of algebraic varieties; solution of Hermite-Joubert problem over -closed fields; and cohomological invariants and applications to classifying spaces. The old and new results presented in these articles will hopefully become cornerstones for the future development of the theory of algebraic groups and applications. Graduate students and researchers working in the fields of algebraic geometry, number theory, and representation theory will benefit from this unique and broad compilation of fundamental results on algebraic group theory.
Author: Greg Hjorth
Publisher: American Mathematical Soc.
ISBN: 0821837710
Category : Mathematics
Languages : en
Pages : 126
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Book Description
Contributes to the theory of Borel equivalence relations, considered up to Borel reducibility, and measures preserving group actions considered up to orbit equivalence. This title catalogs the actions of products of the free group and obtains additional rigidity theorems and relative ergodicity results in this context.
