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Author : Nikolaus Vonessen
Publisher :
ISBN 13 :
Total Pages : 106 pages
Book Rating : 4.:/5 (64 download)
Download or read book Actions of Linearly Reductive Groups on Affine Pl-algebras written by Nikolaus Vonessen and published by . This book was released on 1989 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nikolaus Vonessen
Publisher : American Mathematical Soc.
ISBN 13 : 0821824775
Total Pages : 114 pages
Book Rating : 4.8/5 (218 download)
Download or read book Actions of Linearly Reductive Groups on Affine PI -Algebras written by Nikolaus Vonessen and published by American Mathematical Soc.. This book was released on 1989 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Roger W. Carter
Publisher : Cambridge University Press
ISBN 13 : 0521643252
Total Pages : 203 pages
Book Rating : 4.5/5 (216 download)
Download or read book Representations of Reductive Groups written by Roger W. Carter and published by Cambridge University Press. This book was released on 1998-09-03 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a very accessible introduction to the representation theory of reductive algebraic groups.
Author : Walter Ferrer Santos
Publisher : CRC Press
ISBN 13 : 1420030795
Total Pages : 472 pages
Book Rating : 4.4/5 (2 download)
Download or read book Actions and Invariants of Algebraic Groups written by Walter Ferrer Santos and published by CRC Press. This book was released on 2005-04-26 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Philippe Gille
Publisher : American Mathematical Soc.
ISBN 13 : 0821887742
Total Pages : 124 pages
Book Rating : 4.8/5 (218 download)
Download or read book Torsors, Reductive Group Schemes and Extended Affine Lie Algebras written by Philippe Gille and published by American Mathematical Soc.. This book was released on 2013-10-23 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors give a detailed description of the torsors that correspond to multiloop algebras. These algebras are twisted forms of simple Lie algebras extended over Laurent polynomial rings. They play a crucial role in the construction of Extended Affine Lie Algebras (which are higher nullity analogues of the affine Kac-Moody Lie algebras). The torsor approach that the authors take draws heavily from the theory of reductive group schemes developed by M. Demazure and A. Grothendieck. It also allows the authors to find a bridge between multiloop algebras and the work of F. Bruhat and J. Tits on reductive groups over complete local fields.
Author : James E. Humphreys
Publisher :
ISBN 13 : 9781468494440
Total Pages : 268 pages
Book Rating : 4.4/5 (944 download)
Download or read book Linear Algebraic Groups written by James E. Humphreys and published by . This book was released on 1975-05-13 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard S. Elman
Publisher : American Mathematical Soc.
ISBN 13 : 0821851616
Total Pages : 215 pages
Book Rating : 4.8/5 (218 download)
Download or read book Linear Algebraic Groups and Their Representations written by Richard S. Elman and published by American Mathematical Soc.. This book was released on 1993 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Brings together a wide variety of themes under a single unifying perspective The proceedings of a conference on Linear algebraic Groups and their Representations - the text gets to grips with the fundamental nature of this subject and its interaction with a wide variety of active areas in mathematics and physics.
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 912 pages
Book Rating : 4.:/5 (318 download)
Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1989 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shari A. Prevost
Publisher : American Mathematical Soc.
ISBN 13 : 0821825275
Total Pages : 113 pages
Book Rating : 4.8/5 (218 download)
Download or read book Vertex Algebras and Integral Bases for the Enveloping Algebras of Affine Lie Algebras written by Shari A. Prevost and published by American Mathematical Soc.. This book was released on 1992 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present a new proof of the identities needed to exhibit an explicit [bold]Z-basis for the universal enveloping algebra associated to an affine Lie algebra. We then use the explicit [bold]Z-bases to extend Borcherds' description, via vertex operator representations, of a [bold]Z-form of the enveloping algebras for the simply-laced affine Lie algebras to the enveloping algebras associated to the unequal root length affine Lie algebras.
Author : D. G. Northcott
Publisher : Cambridge University Press
ISBN 13 : 052122909X
Total Pages : 297 pages
Book Rating : 4.5/5 (212 download)
Download or read book Affine Sets and Affine Groups written by D. G. Northcott and published by Cambridge University Press. This book was released on 1980-05-08 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Edward Formanek
Publisher : American Mathematical Soc.
ISBN 13 : 9780821889220
Total Pages : 68 pages
Book Rating : 4.8/5 (892 download)
Download or read book The Polynomial Identities and Invariants of N X N Matrices written by Edward Formanek and published by American Mathematical Soc.. This book was released on with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of polynomial identities, as a well-defined field of study, began with a well-known 1948 article of Kaplansky. The field has since developed along two branches: the structural, which investigates the properties of rings which satisfy a polynomial identity; and the varietal, which investigates the set of polynomials in the free ring which vanish under all specializations in a given ring. This book is based on lectures delivered during an NSF-CBMS Regional Conference, held at DePaul University in July 1990, at which the author was the principal lecturer. The first part of the book is concerned with polynomial identity rings. The emphasis is on those parts of the theory related to n x n matrices, including the major structure theorems and the construction of certain polynomials identities and central polynomials for n x n matrices. The ring of generic matrices and its centre is described. The author then moves on to the invariants of n x n matrices, beginning with the first and second fundamental theorems, which are used to describe the polynomial identities satisfied by n x n matrices. One of the exceptional features of this book is the way it emphasizes the connection between polynomial identities and invariants of n x n matrices. Accessible to those with background at the level of a first-year graduate course in algebra, this book gives readers an understanding of polynomial identity rings and invariant theory, as well as an indication of current problems and research in these areas.
Author : Daniel Ken Nakano
Publisher : American Mathematical Soc.
ISBN 13 : 0821825305
Total Pages : 97 pages
Book Rating : 4.8/5 (218 download)
Download or read book Projective Modules over Lie Algebras of Cartan Type written by Daniel Ken Nakano and published by American Mathematical Soc.. This book was released on 1992 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper investigates the question of linkage and block theory for Lie algebras of Cartan type. The second part of the paper deals mainly with block structure and projective modules of Lies algebras of types W and K.
Author : Brian Conrad
Publisher : Cambridge University Press
ISBN 13 : 1139490346
Total Pages : 555 pages
Book Rating : 4.1/5 (394 download)
Download or read book Pseudo-reductive Groups written by Brian Conrad and published by Cambridge University Press. This book was released on 2010-07-29 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pseudo-reductive groups arise naturally in the study of general smooth linear algebraic groups over non-perfect fields and have many important applications. This self-contained monograph provides a comprehensive treatment of the theory of pseudo-reductive groups and gives their classification in a usable form. The authors present numerous new results and also give a complete exposition of Tits' structure theory of unipotent groups. They prove the conjugacy results (conjugacy of maximal split tori, minimal pseudo-parabolic subgroups, maximal split unipotent subgroups) announced by Armand Borel and Jacques Tits, and also give the Bruhat decomposition, of general smooth connected algebraic groups. Researchers and graduate students working in any related area, such as algebraic geometry, algebraic group theory, or number theory, will value this book as it develops tools likely to be used in tackling other problems.
Author : H. Popp
Publisher : Springer
ISBN 13 : 3540370315
Total Pages : 196 pages
Book Rating : 4.5/5 (43 download)
Download or read book Moduli Theory and Classification Theory of Algebraic Varieties written by H. Popp and published by Springer. This book was released on 2006-11-15 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stephen Semmes
Publisher : American Mathematical Soc.
ISBN 13 : 0821825321
Total Pages : 111 pages
Book Rating : 4.8/5 (218 download)
Download or read book A Generalization of Riemann Mappings and Geometric Structures on a Space of Domains in C$^n$ written by Stephen Semmes and published by American Mathematical Soc.. This book was released on 1992 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: Similar in philosophy to the study of moduli spaces in algebraic geometry, the central theme of this book is that spaces of (pseudoconvex) domains should admit geometrical structures that reflect the complex geometry of the underlying domains in a natural way. With its unusual geometric perspective of some topics in several complex variables, this book appeals to those who view much of mathematics in broadly geometrical terms.
Author : Dennis A. Hejhal
Publisher : American Mathematical Soc.
ISBN 13 : 0821825291
Total Pages : 177 pages
Book Rating : 4.8/5 (218 download)
Download or read book Eigenvalues of the Laplacian for Hecke Triangle Groups written by Dennis A. Hejhal and published by American Mathematical Soc.. This book was released on 1992 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paper I is concerned with computational aspects of the Selberg trace formalism, considering the usual type of eigenfunction and including an analysis of pseudo cusp forms and their residual effects. Paper II examines the modular group PSL (2, [bold]Z), as such groups have both a discrete and continuous spectrum. This paper only examines the discrete side of the spectrum.
Author : Armand Borel
Publisher : Springer Science & Business Media
ISBN 13 : 1461209412
Total Pages : 301 pages
Book Rating : 4.4/5 (612 download)
Download or read book Linear Algebraic Groups written by Armand Borel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised, enlarged edition of Linear Algebraic Groups (1969) starts by presenting foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. It then turns to solvable groups, general properties of linear algebraic groups, and Chevally’s structure theory of reductive groups over algebraically closed groundfields. It closes with a focus on rationality questions over non-algebraically closed fields.
