pick your favorite books

Group Actions And Invariant Theory

Group Actions and Invariant Theory PDF
Author: American Mathematical Society
Publisher: American Mathematical Soc.
ISBN: 9780821860151
Size: 32.70 MB
Format: PDF, Mobi
Category : Group actions (Mathematics)
Languages : en
Pages : 228
View: 3690

Get Book

Group Actions And Invariant Theory

by American Mathematical Society, Group Actions And Invariant Theory Books available in PDF, EPUB, Mobi Format. Download Group Actions And Invariant Theory books, This volume contains the proceedings of a conference, sponsored by the Canadian Mathematical Society, on Group Actions and Invariant Theory, held in August, 1988 in Montreal. The conference was the third in a series bringing together researchers from North America and Europe (particularly Poland). The papers collected here will provide an overview of the state of the art of research in this area. The conference was primarily concerned with the geometric side of invariant theory, including explorations of the linearization problem for reductive group actions on affine spaces (with a counterexample given recently by J. Schwarz), spherical and complete symmetric varieties, reductive quotients, automorphisms of affine varieties, and homogeneous vector bundles.




Reflection Groups And Invariant Theory

Reflection Groups and Invariant Theory PDF
Author: Richard Kane
Publisher: Springer Science & Business Media
ISBN: 9780387989792
Size: 70.49 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 379
View: 3753

Get Book

Reflection Groups And Invariant Theory

by Richard Kane, Reflection Groups And Invariant Theory Books available in PDF, EPUB, Mobi Format. Download Reflection Groups And Invariant Theory books, Reflection groups and invariant theory is a branch of mathematics that lies at the intersection between geometry and algebra. The book contains a deep and elegant theory, evolved from various graduate courses given by the author over the past 10 years.




Group Actions In Ergodic Theory Geometry And Topology

Group Actions in Ergodic Theory  Geometry  and Topology PDF
Author: Robert J. Zimmer
Publisher: University of Chicago Press
ISBN: 022656813X
Size: 70.26 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 723
View: 2197

Get Book

Group Actions In Ergodic Theory Geometry And Topology

by Robert J. Zimmer, Group Actions In Ergodic Theory Geometry And Topology Books available in PDF, EPUB, Mobi Format. Download Group Actions In Ergodic Theory Geometry And Topology books, Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name. Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers brings together some of the most significant writings by Zimmer, which lay out his program and contextualize his work over the course of his career. Zimmer’s body of work is remarkable in that it involves methods from a variety of mathematical disciplines, such as Lie theory, differential geometry, ergodic theory and dynamical systems, arithmetic groups, and topology, and at the same time offers a unifying perspective. After arriving at the University of Chicago in 1977, Zimmer extended his earlier research on ergodic group actions to prove his cocycle superrigidity theorem which proved to be a pivotal point in articulating and developing his program. Zimmer’s ideas opened the door to many others, and they continue to be actively employed in many domains related to group actions in ergodic theory, geometry, and topology. In addition to the selected papers themselves, this volume opens with a foreword by David Fisher, Alexander Lubotzky, and Gregory Margulis, as well as a substantial introductory essay by Zimmer recounting the course of his career in mathematics. The volume closes with an afterword by Fisher on the most recent developments around the Zimmer program.




Symmetry Representations And Invariants

Symmetry  Representations  and Invariants PDF
Author: Roe Goodman
Publisher: Springer Science & Business Media
ISBN: 0387798528
Size: 21.43 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 716
View: 6079

Get Book

Symmetry Representations And Invariants

by Roe Goodman, Symmetry Representations And Invariants Books available in PDF, EPUB, Mobi Format. Download Symmetry Representations And Invariants books, Symmetry is a key ingredient in many mathematical, physical, and biological theories. Using representation theory and invariant theory to analyze the symmetries that arise from group actions, and with strong emphasis on the geometry and basic theory of Lie groups and Lie algebras, Symmetry, Representations, and Invariants is a significant reworking of an earlier highly-acclaimed work by the authors. The result is a comprehensive introduction to Lie theory, representation theory, invariant theory, and algebraic groups, in a new presentation that is more accessible to students and includes a broader range of applications. The philosophy of the earlier book is retained, i.e., presenting the principal theorems of representation theory for the classical matrix groups as motivation for the general theory of reductive groups. The wealth of examples and discussion prepares the reader for the complete arguments now given in the general case. Key Features of Symmetry, Representations, and Invariants: (1) Early chapters suitable for honors undergraduate or beginning graduate courses, requiring only linear algebra, basic abstract algebra, and advanced calculus; (2) Applications to geometry (curvature tensors), topology (Jones polynomial via symmetry), and combinatorics (symmetric group and Young tableaux); (3) Self-contained chapters, appendices, comprehensive bibliography; (4) More than 350 exercises (most with detailed hints for solutions) further explore main concepts; (5) Serves as an excellent main text for a one-year course in Lie group theory; (6) Benefits physicists as well as mathematicians as a reference work.




On Invariants Of Lie Group Actions And Their Application To Some Equivalence Problems

On Invariants of Lie Group Actions and Their Application to Some Equivalence Problems PDF
Author: Mireille Boutin
Publisher:
ISBN:
Size: 65.58 MB
Format: PDF, ePub
Category :
Languages : en
Pages : 212
View: 3545

Get Book

On Invariants Of Lie Group Actions And Their Application To Some Equivalence Problems

by Mireille Boutin, On Invariants Of Lie Group Actions And Their Application To Some Equivalence Problems Books available in PDF, EPUB, Mobi Format. Download On Invariants Of Lie Group Actions And Their Application To Some Equivalence Problems books,




Operator Algebras Unitary Representation

Operator Algebras  Unitary Representation PDF
Author: A. Connes
Publisher: Birkhäuser
ISBN: 9780817634896
Size: 70.51 MB
Format: PDF, ePub
Category : Science
Languages : en
Pages : 579
View: 6212

Get Book

Operator Algebras Unitary Representation

by A. Connes, Operator Algebras Unitary Representation Books available in PDF, EPUB, Mobi Format. Download Operator Algebras Unitary Representation books, The French subtitle, Actes du colloque en l'honneur de Jacques Dixmier identifies the volume as a festschrift for Professor Dixmier, whose 65th birthday was celebrated at a conference held May 1989, Paris, France. Twenty-two research articles (of which four are in French) address aspects of the four areas of research (announced in the title) central to Dixmier's career. No index. Annotation copyrighted by Book News, Inc., Portland, OR




Computational Commutative Algebra And Combinatorics

Computational Commutative Algebra and Combinatorics PDF
Author: Takayuki Hibi
Publisher: Mathematical Soc of Japan
ISBN:
Size: 26.35 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 276
View: 6303

Get Book

Computational Commutative Algebra And Combinatorics

by Takayuki Hibi, Computational Commutative Algebra And Combinatorics Books available in PDF, EPUB, Mobi Format. Download Computational Commutative Algebra And Combinatorics books, This volume constitutes the proceedings of the International Conference on ``Computational Commutative Algebra and Combinatorics'' held in Osaka, Japan. It contains excellent survey articles and research papers on various topics related to the theme of the conference. Of particular interest are two survey articles, ``Algebraic Shifting'' by Gil Kalai and ``Generic Initial Ideals and Graded Betti Numbers'' by Jurgen Herzog. The volume is suitable for graduate students and research mathematicians interested in discrete mathematics.




Lectures On Invariant Theory

Lectures on Invariant Theory PDF
Author: Igor Dolgachev
Publisher: Cambridge University Press
ISBN: 9780521525480
Size: 50.71 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 220
View: 2247

Get Book

Lectures On Invariant Theory

by Igor Dolgachev, Lectures On Invariant Theory Books available in PDF, EPUB, Mobi Format. Download Lectures On Invariant Theory books, The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.