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Representation Theory Of Partially Ordered Vector Spaces
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Book Synopsis Linear Representations of Partially Ordered Sets and Vector Space Categories by : Daniel Simson
Download or read book Linear Representations of Partially Ordered Sets and Vector Space Categories written by Daniel Simson and published by CRC Press. This book was released on 1993-01-01 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an elementary yet comprehensive introduction to representations of partially ordered sets and bimodule matrix problems, and their use in representation theory of algebras. It includes a discussion of representation types of algebras and partially ordered sets. Various characterizations of representation-finite and representation-tame partially ordered sets are offered and a description of their indecomposable representations is given. Auslander-Reiten theory is demonstrated together with a computer accessible algorithm for determining in decomposable representations and the Auslander-Reiten quiver of any representation-finite partially ordered set.
Book Synopsis Introduction to Representation Theory by : Pavel I. Etingof
Download or read book Introduction to Representation Theory written by Pavel I. Etingof and published by American Mathematical Soc.. This book was released on 2011 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.
Book Synopsis Representation Theory of Algebras by : Raymundo Bautista
Download or read book Representation Theory of Algebras written by Raymundo Bautista and published by American Mathematical Soc.. This book was released on 1996 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ICRA VII was held at Cocoyoc, Mexico, in August 1994. This was the second time that the ICRA was held in Mexico: ICRA III took place in Puebla in 1980. The 1994 conference included 62 lectures, all listed in these Proceedings. Not all contributions presented, however, appear in this book. Most papers in this volume are in final form with complete proofs, with the only exception being the paper of Leszczynski and Skowronski, Auslander algebras of tame representation type, that the editors thought useful to include.
Book Synopsis Partially Ordered Topological Vector Spaces by : Yau-Chuen Wong
Download or read book Partially Ordered Topological Vector Spaces written by Yau-Chuen Wong and published by Oxford University Press, USA. This book was released on 1973 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Representation Theory I by : V. Dlab
Download or read book Representation Theory I written by V. Dlab and published by Springer. This book was released on 2006-11-15 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elements of the Representation Theory of Associative Algebras: Volume 1 by : Ibrahim Assem
Download or read book Elements of the Representation Theory of Associative Algebras: Volume 1 written by Ibrahim Assem and published by Cambridge University Press. This book was released on 2006-02-13 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first part of a two-volume set offers a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The authors present this topic from the perspective of linear representations of finite-oriented graphs (quivers) and homological algebra. The self-contained treatment constitutes an elementary, up-to-date introduction to the subject using, on the one hand, quiver-theoretical techniques and, on the other, tilting theory and integral quadratic forms. Key features include many illustrative examples, plus a large number of end-of-chapter exercises. The detailed proofs make this work suitable both for courses and seminars, and for self-study. The volume will be of great interest to graduate students beginning research in the representation theory of algebras and to mathematicians from other fields.
Book Synopsis An Introduction to Partially Ordered Structures and Sheaves by : Francisco Miraglia
Download or read book An Introduction to Partially Ordered Structures and Sheaves written by Francisco Miraglia and published by Polimetrica s.a.s.. This book was released on 2006 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Integral Representation Theory by : Jaroslav Lukeš
Download or read book Integral Representation Theory written by Jaroslav Lukeš and published by Walter de Gruyter. This book was released on 2010 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents the state of the art of convexity, with an emphasis to integral representation. The exposition is focused on Choquet's theory of function spaces with a link to compact convex sets. An important feature of the book is an interplay between various mathematical subjects, such as functional analysis, measure theory, descriptive set theory, Banach spaces theory and potential theory. A substantial part of the material is of fairly recent origin and many results appear in the book form for the first time. The text is self-contained and covers a wide range of applications. From the contents: Geometry of convex sets Choquet theory of function spaces Affine functions on compact convex sets Perfect classes of functions and representation of affine functions Simplicial function spaces Choquet's theory of function cones Topologies on boundaries Several results on function spaces and compact convex sets Continuous and measurable selectors Construction of function spaces Function spaces in potential theory and Dirichlet problem Applications
Book Synopsis Computational Methods for Representations of Groups and Algebras by : P. Dräxler
Download or read book Computational Methods for Representations of Groups and Algebras written by P. Dräxler and published by Birkhäuser. This book was released on 2012-12-06 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents material from 3 survey lectures and 14 additional invited lectures given at the Euroconference "Computational Methods for Representations of Groups and Algebras" held at Essen University in April 1997. The purpose of this meeting was to provide a survey of general theoretical and computational methods and recent advances in the representation theory of groups and algebras. The foundations of these research areas were laid in survey articles by P. Dräxler and R. Nörenberg on "Classification problems in the representation theory of finite-dimensional algebras", R. A. Wilson on "Construction of finite matrix groups" and E. Green on "Noncommutative Gröbner bases, and projective resolutions". Furthermore, new applications of the computational methods in linear algebra to the revision of the classification of finite simple sporadic groups are presented. Computational tools (including high-performance computations on supercomputers) have become increasingly important for classification problems. They are also inevitable for the construction of projective resolutions of finitely generated modules over finite-dimensional algebras and the study of group cohomology and rings of invariants. A major part of this book is devoted to a survey of algorithms for computing special examples in the study of Grothendieck groups, quadratic forms and derived categories of finite-dimensional algebras. Open questions on Lie algebras, Bruhat orders, Coxeter groups and Kazhdan Lusztig polynomials are investigated with the aid of computer programs. The contents of this book provide an overview on the present state of the art. Therefore it will be very useful for graduate students and researchers in mathematics, computer science and physics.
Book Synopsis Mathematical Topics on Representations of Ordered Structures and Utility Theory by : Gianni Bosi
Download or read book Mathematical Topics on Representations of Ordered Structures and Utility Theory written by Gianni Bosi and published by Springer Nature. This book was released on 2020-01-23 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an essential review of central theories, current research and applications in the field of numerical representations of ordered structures. It is intended as a tribute to Professor Ghanshyam B. Mehta, one of the leading specialists on the numerical representability of ordered structures, and covers related applications to utility theory, mathematical economics, social choice theory and decision-making. Taken together, the carefully selected contributions provide readers with an authoritative review of this research field, as well as the knowledge they need to apply the theories and methods in their own work.
Book Synopsis Ordered Linear Spaces by : Graham Jameson
Download or read book Ordered Linear Spaces written by Graham Jameson and published by Springer. This book was released on 2006-11-15 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Interactions Between Ring Theory and Representations of Algebras by : Freddy Van Oystaeyen
Download or read book Interactions Between Ring Theory and Representations of Algebras written by Freddy Van Oystaeyen and published by CRC Press. This book was released on 2000-04-05 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is based on a set of lectures and invited papers presented at a meeting in Murcia, Spain, organized by the European Commission's Training and Mobility of Researchers (TMR) Programme. It contains information on the structure of representation theory of groups and algebras and on general ring theoretic methods related to the theory.
Book Synopsis Representation Theory and Algebraic Geometry by : A. Martsinkovsky
Download or read book Representation Theory and Algebraic Geometry written by A. Martsinkovsky and published by Cambridge University Press. This book was released on 1997-05-15 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: For any researcher working in representation theory, algebraic or arithmetic geometry.
Book Synopsis Partially Ordered Abelian Groups with Interpolation by : K. R. Goodearl
Download or read book Partially Ordered Abelian Groups with Interpolation written by K. R. Goodearl and published by American Mathematical Soc.. This book was released on 2010-05-30 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: A branch of ordered algebraic structures has grown, motivated by $K$-theoretic applications and mainly concerned with partially ordered abelian groups satisfying the Riesz interpolation property. This monograph is the first source in which the algebraic and analytic aspects of these interpolation groups have been integrated into a coherent framework for general reference. The author provides a solid foundation in the structure theory of interpolation groups and dimension groups (directed unperforated interpolation groups), with applications to ordered $K$-theory particularly in mind. Although interpolation groups are defined as purely algebraic structures, their development has been strongly influenced by functional analysis. This cross-cultural development has left interpolation groups somewhat estranged from both the algebraists, who may feel intimidated by compact convex sets, and the functional analysts, who may feel handicapped by the lack of scalars. This book, requiring only standard first-year graduate courses in algebra and functional analysis, aims to make the subject accessible to readers from both disciplines.High points of the development include the following: characterization of dimension groups as direct limits of finite products of copies of the integers; the double-dual representation of an interpolation group with order-unit via affine continuous real-valued functions on its state space; the structure of dimension groups complete with respect to the order-unit norm, as well as monotone sigma-complete dimension groups and dimension groups with countably infinite interpolation; and an introduction to the problem of classifying extensions of one dimension group by another. The book also includes a development of portions of the theory of compact convex sets and Choquet simplices, and an expository discussion of various applications of interpolation group theory to rings and $C DEGREES*$-algebras via ordered $K_0$. A discussion of some open problems in interpolation groups and dimension groups concludes the book.Of interest, of course, to researchers in ordered algebraic structures, the book will also be a valuable source for researchers seeking a background in interpolation groups and dimension groups for applications to such subjects as rings, operator algebras, topological Markov chains, positive polynomials, compact group actions, or other areas where ordered Grothendieck groups might be useful. This is a reprint of the 1986 original. (SUR
Download or read book Pre-Riesz Spaces written by Anke Kalauch and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-11-19 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph develops the theory of pre-Riesz spaces, which are the partially ordered vector spaces that embed order densely into Riesz spaces. Concepts from Riesz space theory such as disjointness, ideals, and bands are extended to pre-Riesz spaces. The analysis revolves around embedding techniques, including the Riesz completion and the functional representation. In the same spirit, norms and topologies on a pre-Riesz space and their extensions to the Riesz completion are examined. The generalized concepts are used to investigate disjointness preserving operators on pre-Riesz spaces and related notions. The monograph presents recent results as well as being an accessible introduction to the theory of partially ordered vector spaces and positive operators. Contents A primer on ordered vector spaces Embeddings, covers, and completions Seminorms on pre-Riesz spaces Disjointness, bands, and ideals in pre-Riesz spaces Operators on pre-Riesz spaces
Book Synopsis AFOSR. by : United States. Air Force. Office of Scientific Research
Download or read book AFOSR. written by United States. Air Force. Office of Scientific Research and published by . This book was released on 1957 with total page 1136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Ethics and Existence by : Jeff McMahan
Download or read book Ethics and Existence written by Jeff McMahan and published by Oxford University Press. This book was released on 2022 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: Derek Parfit, who died in 2017, is widely believed to have been the best moral philosopher in well over a century. The twenty new essays in this book were written in his honour and have all been inspired by his work--in particular, his work in an area of moral philosophy known as 'population ethics', which is concerned with moral issues raised by causing people to exist. Until Parfit began writing about these issues in the 1970s, there was almost no discussion of them in the entire history of philosophy. But his monumental book Reasons and Persons (OUP, 1984) revealed that population ethics abounds in deep and intractable problems and paradoxes that not only challenge all the major moral theories but also threaten to undermine many important common-sense moral beliefs. It is no exaggeration to say that there is a broad range of practical moral issues that cannot be adequately understood until fundamental problems in population ethics are resolved. These issues include abortion, prenatal injury, preconception and prenatal screening for disability, genetic enhancement and eugenics generally, meat eating, climate change, reparations for historical injustice, the threat of human extinction, and even proportionality in war. Although the essays in this book address foundational problems in population ethics that were discovered and first discussed by Parfit, they are not, for the most part, commentaries on his work but instead build on that work in advancing our understanding of the problems themselves. The contributors include many of the most important and influential writers in this burgeoning area of philosophy.
