The Schur Multiplier

The Schur Multiplier PDF Author: Gregory Karpilovsky
Publisher: Oxford University Press, USA
ISBN:
Category : Mathematics
Languages : en
Pages : 322

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Book Description
During the last thirty years, much research has been devoted to the study of various properties of the second cohomology group, also known as the Schur multiplier. Clear and carefully developed, this book conveys a comprehensive picture of the current state of this subject and offers a unified treatment of a wealth of important results. It also provides a wide range of skill-sharpening mathematical techniques which will prove useful to graduate students and researchers in algebra.

The Schur Multiplier

The Schur Multiplier PDF Author: Gregory Karpilovsky
Publisher: Oxford University Press, USA
ISBN:
Category : Mathematics
Languages : en
Pages : 322

Get Book Here

Book Description
During the last thirty years, much research has been devoted to the study of various properties of the second cohomology group, also known as the Schur multiplier. Clear and carefully developed, this book conveys a comprehensive picture of the current state of this subject and offers a unified treatment of a wealth of important results. It also provides a wide range of skill-sharpening mathematical techniques which will prove useful to graduate students and researchers in algebra.

The Schur Multiplier

The Schur Multiplier PDF Author: Morrow Maargaret Leonie
Publisher:
ISBN:
Category : Schur multiplier
Languages : en
Pages : 87

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Book Description


Algebra 2

Algebra 2 PDF Author: Ramji Lal
Publisher: Springer
ISBN: 981104256X
Category : Mathematics
Languages : en
Pages : 440

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Book Description
This is the second in a series of three volumes dealing with important topics in algebra. Volume 2 is an introduction to linear algebra (including linear algebra over rings), Galois theory, representation theory, and the theory of group extensions. The section on linear algebra (chapters 1–5) does not require any background material from Algebra 1, except an understanding of set theory. Linear algebra is the most applicable branch of mathematics, and it is essential for students of science and engineering As such, the text can be used for one-semester courses for these students. The remaining part of the volume discusses Jordan and rational forms, general linear algebra (linear algebra over rings), Galois theory, representation theory (linear algebra over group algebras), and the theory of extension of groups follow linear algebra, and is suitable as a text for the second and third year students specializing in mathematics.

Group Extensions, Representations, and the Schur Multiplicator

Group Extensions, Representations, and the Schur Multiplicator PDF Author: F. R. Beyl
Publisher: Springer
ISBN: 3540395423
Category : Mathematics
Languages : en
Pages : 283

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Book Description


Projective Representations of Finite Groups

Projective Representations of Finite Groups PDF Author: Gregory Karpilovsky
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 672

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Book Description
This book presents a systematic account of this topic, from the classical foundations established by Schur 80 years ago to current advances and developments in the field. This work focuses on general methods and builds theory solidly on the study of modules over twisted group algebras, and provides a wide range of skill-sharpening mathematical techniques applicable to this subject. Offers an understanding of projective representations of finite groups for algebraists, number theorists, mathematical researchers studying modern algebra, and theoretical physicists.

On the Exponent of the Schur Multiplier

On the Exponent of the Schur Multiplier PDF Author: Nicola Sambonet
Publisher:
ISBN:
Category :
Languages : en
Pages : 82

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Book Description


The Schur Multiplier of the Exceptional Lie Group G2

The Schur Multiplier of the Exceptional Lie Group G2 PDF Author: John Charles Hurley
Publisher:
ISBN:
Category : Geometry, Algebraic
Languages : en
Pages : 70

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Book Description


Means of Hilbert Space Operators

Means of Hilbert Space Operators PDF Author: Fumio Hiai
Publisher: Springer
ISBN: 3540451528
Category : Mathematics
Languages : en
Pages : 151

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Book Description
The monograph is devoted to a systematic study of means of Hilbert space operators by a unified method based on the theory of double integral transformations and Peller's characterization of Schur multipliers. General properties on means of operators such as comparison results, norm estimates and convergence criteria are established. After some general theory, special investigations are focused on three one-parameter families of A-L-G (arithmetic-logarithmic-geometric) interpolation means, Heinz-type means and binomial means. In particular, norm continuity in the parameter is examined for such means. Some necessary technical results are collected as appendices.

Pick Interpolation and Hilbert Function Spaces

Pick Interpolation and Hilbert Function Spaces PDF Author: Jim Agler
Publisher: American Mathematical Society
ISBN: 1470468557
Category : Mathematics
Languages : en
Pages : 330

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Book Description
The book first rigorously develops the theory of reproducing kernel Hilbert spaces. The authors then discuss the Pick problem of finding the function of smallest $H^infty$ norm that has specified values at a finite number of points in the disk. Their viewpoint is to consider $H^infty$ as the multiplier algebra of the Hardy space and to use Hilbert space techniques to solve the problem. This approach generalizes to a wide collection of spaces. The authors then consider the interpolation problem in the space of bounded analytic functions on the bidisk and give a complete description of the solution. They then consider very general interpolation problems. The book includes developments of all the theory that is needed, including operator model theory, the Arveson extension theorem, and the hereditary functional calculus.

Matrix Spaces And Schur Multipliers: Matriceal Harmonic Analysis

Matrix Spaces And Schur Multipliers: Matriceal Harmonic Analysis PDF Author: Lars-erik Persson
Publisher: World Scientific
ISBN: 9814546798
Category : Mathematics
Languages : en
Pages : 207

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Book Description
This book gives a unified approach to the theory concerning a new matrix version of classical harmonic analysis. Most results in the book have their analogues as classical or newer results in harmonic analysis. It can be used as a source for further research in many areas related to infinite matrices. In particular, it could be a perfect starting point for students looking for new directions to write their PhD thesis as well as for experienced researchers in analysis looking for new problems with great potential to be very useful both in pure and applied mathematics where classical analysis has been used, for example, in signal processing and image analysis.