Collected Mathematical Papers Associative Algebras And Riemann Matrices

Author : Abraham Adrian Albert,Richard E. Block
Publisher : American Mathematical Soc.
Page : 824 pages
File Size : 52,8 Mb
Release : 2024-07-01
Category : Associative algebras
ISBN : 0821870556

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Collected Mathematical Papers: Associative algebras and Riemann matrices by Abraham Adrian Albert,Richard E. Block Pdf

This book contains the collected works of A. Adrian Albert, a leading algebraist of the twentieth century. Albert made many important contributions to the theory of the Brauer group and central simple algeras, Riemann matrices, nonassociative algebras and other topics. Part 1 focuses on associative algebras and Riemann matrices part 2 on nonassociative algebras and miscellany. Because much of Albert's work remains of vital interest in contemporary research, this volume will interst mathematicians in a variety of areas.

Author : Abraham Adrian Albert,Richard E. Block
Publisher : Amer Mathematical Society
Page : 743 pages
File Size : 41,6 Mb
Release : 1993
Category : Science
ISBN : 0821800035

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Collected Mathematical Papers by Abraham Adrian Albert,Richard E. Block Pdf

This book contains the collected works of A. Adrian Albert, a leading algebraist of the twentieth century. Albert made many important contributions to the theory of the Brauer group and central simple algebras, Riemann matrices, nonassociative algebras, and other topics. Part 1 focuses on associative algebras and Riemann matrices, and Part 2 on nonassociative algebras and miscellany. Because much of Albert's work remains of vital interest in contemporary research, this volume will interest mathematicians in a variety of areas.

Author : Abraham Adrian Albert,Richard E. Block
Publisher : American Mathematical Soc.
Page : 1024 pages
File Size : 48,9 Mb
Release : 1993
Category : Associative algebras
ISBN : UOM:39015029731059

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Collected Mathematical Papers: Nonassociative algebras and miscellany by Abraham Adrian Albert,Richard E. Block Pdf

Author : Miguel Cabrera García,Ángel Rodríguez Palacios
Publisher : Cambridge University Press
Page : 759 pages
File Size : 54,6 Mb
Release : 2018-04-12
Category : Mathematics
ISBN : 9781107043114

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Non-Associative Normed Algebras by Miguel Cabrera García,Ángel Rodríguez Palacios Pdf

The first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource.

Author : Max-Albert Knus
Publisher : American Mathematical Soc.
Page : 624 pages
File Size : 42,5 Mb
Release : 1998-06-30
Category : Mathematics
ISBN : 0821873210

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The Book of Involutions by Max-Albert Knus Pdf

This monograph is an exposition of the theory of central simple algebras with involution, in relation to linear algebraic groups. It provides the algebra-theoretic foundations for much of the recent work on linear algebraic groups over arbitrary fields. Involutions are viewed as twisted forms of (hermitian) quadrics, leading to new developments on the model of the algebraic theory of quadratic forms. In addition to classical groups, phenomena related to triality are also discussed, as well as groups of type $F_4$ or $G_2$ arising from exceptional Jordan or composition algebras. Several results and notions appear here for the first time, notably the discriminant algebra of an algebra with unitary involution and the algebra-theoretic counterpart to linear groups of type $D_4$. This volume also contains a Bibliography and Index. Features: original material not in print elsewhere a comprehensive discussion of algebra-theoretic and group-theoretic aspects extensive notes that give historical perspective and a survey on the literature rational methods that allow possible generalization to more general base rings

Author : Robert Steinberg
Publisher : American Mathematical Soc.
Page : 628 pages
File Size : 43,6 Mb
Release : 1997
Category : Group theory
ISBN : 0821805762

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Robert Steinberg Collected Papers by Robert Steinberg Pdf

This volume is a collection of published papers by Robert Steinberg. It contains all of his published papers on group theory, including those on "special" representations (now called Steinberg representations), Coxeter groups, regular nilpotent elements and Galois cohomology. After each paper, there is a section, "Comments on the papers", that contains minor corrections and clarifications and explains how ideas and results have evolved and been used since they first appeared.

Author : I͡U. I. Manin
Publisher : American Mathematical Soc.
Page : 258 pages
File Size : 46,6 Mb
Release : 2007
Category : Mathematics
ISBN : 9780821843314

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Mathematics as Metaphor by I͡U. I. Manin Pdf

Includes essays that are grouped in three parts: Mathematics; Mathematics and Physics; and, Language, Consciousness, and Book reviews. This book is suitable for those interested in the philosophy and history of mathematics, physics, and linguistics.

Author : Julia Robinson
Publisher : American Mathematical Soc.
Page : 388 pages
File Size : 44,8 Mb
Release : 1996
Category : Mathematics
ISBN : 0821805754

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The Collected Works of Julia Robinson by Julia Robinson Pdf

This volume presents all the published works -- spanning more than thirty years -- of Julia Bowman Robinson. These papers constitute important contributions to the theory of effectively calculable functions and to its applications. Outstanding among the latter are Robinson's proof of the effective unsolvability of the decision problem for the rational number field (and, consequently of that for the first-order theory of all fields), and her work that provided the central step toward the negative solution of Hilbert's Tenth Problem. These results provide upper bound for what one can hope to obtain in the way of positive solutions to the decision problem for special classes of fields and for special classes of diophantine equations, respectively. Besides thematic unity, Robinson's papers are distinguished by their clarity of purpose and accessibility to non-specialists as well as specialists. The volume also includes an extensive biographical memoir on the life and work of Robinson, who will be remembered not only for her distinctive and vital contributions, but also as the first woman to be elected to the mathematical section of the National Academy of Sciences and as the first woman to be President of the American Mathematical Society.

Author : Witold Hurewicz,Krystyna Kuperberg
Publisher : American Mathematical Soc.
Page : 654 pages
File Size : 42,8 Mb
Release : 1995
Category : Mathematics
ISBN : 9780821800119

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Collected Works of Witold Hurewicz by Witold Hurewicz,Krystyna Kuperberg Pdf

This book contains papers of the outstanding and versatile mathematician, Witold Hurewicz. Preceding the collection are introductory articles describing Hurewicz's contributions to Borel sets, dimension theory, and algebraic topology. Hurewicz first studied set theory and dimension, and his papers on this topic are especially clear and precise, making them accessible to beginning mathematicians. His work in algebraic topology is marked by five fundamental papers which provide an introduction to homotopy groups and the Hurewicz Theorem concerning the relation between homotopy and singular homology. These papers are included here in their original form along with English translations. Each paper in the collection is followed by a review from one of the major reviewing journals. These reviews were written by eminent mathematicians and serve as excellent abstracts for the papers.

Author : John Willard Milnor
Publisher : American Mathematical Soc.
Page : 388 pages
File Size : 40,7 Mb
Release : 1994
Category : Algebra
ISBN : 9780821844755

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Collected Papers of John Milnor by John Willard Milnor Pdf

Author : Shimshon A. Amitsur
Publisher : American Mathematical Soc.
Page : 644 pages
File Size : 41,9 Mb
Release : 2001
Category : Algebra
ISBN : 0821829254

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Selected Papers of S. A. Amitsur with Commentary by Shimshon A. Amitsur Pdf

The second volume continues--and presumably concludes since they date to two years after his death--the selection of almost all of Amitsur's (1921-1994) work demonstrating his wide and enduring contribution to algebra, though some in Hebrew and some expositions are not included. The sections here are combinatorial polynomial identity theory and division algebras, each introduced by a mathematician. The papers are reproduced from their original publication in a variety of type styles and pay layouts. The biographical sketch must be in the first volume. There is no index. c. Book News Inc.

Author : Evgeniĭ Borisovich Dynkin,Gary M. Seitz
Publisher : American Mathematical Soc.
Page : 834 pages
File Size : 41,5 Mb
Release : 2000
Category : Lie algebras
ISBN : 0821810650

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Selected Papers of E. B. Dynkin with Commentary by Evgeniĭ Borisovich Dynkin,Gary M. Seitz Pdf

Eugene Dynkin is a rare example of a contemporary mathematician who has achieved outstanding results in two quite different areas of research: algebra and probability. In both areas, his ideas constitute an essential part of modern mathematical knowledge and form a basis for further development. Although his last work in algebra was published in 1955, his contributions continue to influence current research in algebra and in the physics of elementary particles. His work in probability is part of both the historical and the modern development of the topic. This volume presents Dynkin's scientific contributions in both areas. Included are Commentary by recognized experts in the corresponding fields who describe the time, place, role, and impact of Dynkin's research and achievements. Biographical notes and the recollections of his students are also featured.This book is jointly published by the AMS and the International Press.

Author : Walter E. Thirring
Publisher : American Mathematical Soc.
Page : 750 pages
File Size : 48,7 Mb
Release : 1998
Category : Mathematics
ISBN : 0821808125

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Selected Papers of Walter E. Thirring with Commentaries by Walter E. Thirring Pdf

".... with the huge success of the quantum theory, starting especially with the Schrödinger equation in 1926, came a feeling among the leading physicists that mathematics should keep in the background or, as one person put it, `elegance is for tailors'. From the other side, mid-twentieth century mathematicians were not much more hospitable about intrusions of physics, as we can see, for instance, in Hardy's well known little essay. Walter was one of the first, in the post-war years, to try to put things back together." -- from the Foreword by Elliott Lieb This book contains Thirring's scientific contributions to mathematical physics, statistical physics, general relativity, quantum field theory, and elementary particle theory from 1950 onward. The order of the papers within the various sections is chronological and reflects the development of the fields during the second half of this century. In some cases, Thirring returned to problems decades later when the tools for their solution had ripened. Each section contains introductory comments by Thirring, outlining his motivation for the work at that time.

Author : James Cogdell,Simon Gindikin,Peter Sarnak
Publisher : American Mathematical Society
Page : 852 pages
File Size : 43,6 Mb
Release : 2022-11-03
Category : Mathematics
ISBN : 9781470454944

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Selected Works of Ilya Piatetski-Shapiro by James Cogdell,Simon Gindikin,Peter Sarnak Pdf

This selection of papers of I. Piatetski-Shapiro represents almost 50 years of his mathematical activity. Included are many of his major papers in harmonic analysis, number theory, discrete groups, bounded homogeneous domains, algebraic geometry, automorphic forms, and automorphic $L$-functions. The papers in the volume are intended as a representative and accurate reflection of both the breadth and depth of Piatetski-Shapiro's work in mathematics. Some of his early works, such as those on the prime number theorem and on sets of uniqueness for trigonometric series, appear for the first time in English. Also included are several commentaries by his close colleagues. This volume offers an elegant representation of the contributions made by this renowned mathematician.

Author : Ilʹi︠a︡ Iosifovich Pi︠a︡tet︠s︡kiĭ-Shapiro
Publisher : American Mathematical Soc.
Page : 860 pages
File Size : 48,9 Mb
Release : 2000
Category : Mathematics
ISBN : 082180930X

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Selected Works of Ilya Piatetski-Shapiro by Ilʹi︠a︡ Iosifovich Pi︠a︡tet︠s︡kiĭ-Shapiro Pdf

This selection of papers of Ilya Piatetski-Shapiro represents almost 50 years of his mathematical activity. Included are many of his major papers in harmonic analysis, number theory, discrete groups, bounded homogeneous domains, algebraic geometry, automorphic forms, and automorphic L-functions. The papers in the volume are intended as a representative and accurate reflection of both the breadth and depth of Piatetski-Shapiro's work in mathematics. Some of his early works, such as those on the prime number theorem and on sets of uniqueness for trigonometric series, appear for the first time in English. Also included are several commentaries by his close colleagues. This volume offers an elegant representation of the contributions made by this renowned mathematician.