Algebraic Combinatorics And Coinvariant Spaces PDF Download
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| Author | : Francois Bergeron |
| Publisher | : CRC Press |
| Total Pages | : 227 |
| Release | : 2009-07-06 |
| Genre | : Mathematics |
| ISBN | : 1439865078 |
Download Algebraic Combinatorics and Coinvariant Spaces Book in PDF, ePub and Kindle
Written for graduate students in mathematics or non-specialist mathematicians who wish to learn the basics about some of the most important current research in the field, this book provides an intensive, yet accessible, introduction to the subject of algebraic combinatorics. After recalling basic notions of combinatorics, representation theory, and
| Author | : Hélène Barcelo |
| Publisher | : Springer |
| Total Pages | : 362 |
| Release | : 2019-01-21 |
| Genre | : Mathematics |
| ISBN | : 3030051412 |
Download Recent Trends in Algebraic Combinatorics Book in PDF, ePub and Kindle
This edited volume features a curated selection of research in algebraic combinatorics that explores the boundaries of current knowledge in the field. Focusing on topics experiencing broad interest and rapid growth, invited contributors offer survey articles on representation theory, symmetric functions, invariant theory, and the combinatorics of Young tableaux. The volume also addresses subjects at the intersection of algebra, combinatorics, and geometry, including the study of polytopes, lattice points, hyperplane arrangements, crystal graphs, and Grassmannians. All surveys are written at an introductory level that emphasizes recent developments and open problems. An interactive tutorial on Schubert Calculus emphasizes the geometric and topological aspects of the topic and is suitable for combinatorialists as well as geometrically minded researchers seeking to gain familiarity with relevant combinatorial tools. Featured authors include prominent women in the field known for their exceptional writing of deep mathematics in an accessible manner. Each article in this volume was reviewed independently by two referees. The volume is suitable for graduate students and researchers interested in algebraic combinatorics.
| Author | : Chris Godsil |
| Publisher | : CRC Press |
| Total Pages | : 382 |
| Release | : 1993-04-01 |
| Genre | : Mathematics |
| ISBN | : 9780412041310 |
Download Algebraic Combinatorics Book in PDF, ePub and Kindle
This book presents an introduction to some of the interactions between algebra and combinatorics. It focuses on the characteristic and matchings polynomials of a graph and introduces the theory of polynomial spaces. The book is intended for beginning graduate students in mathematics.
| Author | : Naihuan Jing |
| Publisher | : World Scientific |
| Total Pages | : 171 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : 9812775404 |
Download Algebraic Combinatorics and Quantum Groups Book in PDF, ePub and Kindle
Algebraic combinatorics has evolved into one of the most active areas of mathematics. Its developments have become more interactive with not only its traditional field representation theory but also geometry, mathematical physics and harmonic analysis. This book presents articles from some of the key contributors in the area. It covers Hecke algebras, Hall algebras, the Macdonald polynomial and its deviations, and their relations with other fields.
| Author | : Zsuzsanna Lipták |
| Publisher | : Springer |
| Total Pages | : 377 |
| Release | : 2016-03-09 |
| Genre | : Computers |
| ISBN | : 3319295160 |
Download Combinatorial Algorithms Book in PDF, ePub and Kindle
This book constitutes the thoroughly refereed post-workshop proceedings for the 26 International Workshop on combinatorial Algorithms, IWOCA 2015, held in Verona, Italy, in October 2015. The 29 revised full papers presented were carefully reviewed and selected from a total of 90 submissions. The topics of the papers include algorithms and data structures (including sequential, parallel, distributed, approximation, probabilistic, randomised, and on-line algorithms), algorithms on strings and graphs; applications (bioinformatics, music analysis, networking, and others); combinatorics on words; combinatorial enumeration; combinatorial optimization; complexity theory; computational biology; compression and information retrieval; cryptography and information security; decompositions and combinatorial designs; discrete and computational geometry; graph drawing and labeling; graph theory.
| Author | : Andreas Maletti |
| Publisher | : Springer |
| Total Pages | : 231 |
| Release | : 2015-09-09 |
| Genre | : Computers |
| ISBN | : 3319230212 |
Download Algebraic Informatics Book in PDF, ePub and Kindle
This book constitutes the refereed proceedings of the 6th International Conference on Algebraic Informatics, CAI 2015, held in Stuttgart, Germany, in September 2015. The 15 revised full papers presented were carefully reviewed and selected from 25 submissions. The papers cover topics such as data models and coding theory; fundamental aspects of cryptography and security; algebraic and stochastic models of computing; logic and program modelling.
| Author | : Alexander Barg |
| Publisher | : American Mathematical Society |
| Total Pages | : 202 |
| Release | : 2014-08-28 |
| Genre | : Mathematics |
| ISBN | : 1470409054 |
Download Discrete Geometry and Algebraic Combinatorics Book in PDF, ePub and Kindle
This volume contains the proceedings of the AMS Special Session on Discrete Geometry and Algebraic Combinatorics held on January 11, 2013, in San Diego, California. The collection of articles in this volume is devoted to packings of metric spaces and related questions, and contains new results as well as surveys of some areas of discrete geometry. This volume consists of papers on combinatorics of transportation polytopes, including results on the diameter of graphs of such polytopes; the generalized Steiner problem and related topics of the minimal fillings theory; a survey of distance graphs and graphs of diameters, and a group of papers on applications of algebraic combinatorics to packings of metric spaces including sphere packings and topics in coding theory. In particular, this volume presents a new approach to duality in sphere packing based on the Poisson summation formula, applications of semidefinite programming to spherical codes and equiangular lines, new results in list decoding of a family of algebraic codes, and constructions of bent and semi-bent functions.
| Author | : Louis J. Billera |
| Publisher | : Cambridge University Press |
| Total Pages | : 0 |
| Release | : 2011-02-17 |
| Genre | : Mathematics |
| ISBN | : 9780521179799 |
Download New Perspectives in Algebraic Combinatorics Book in PDF, ePub and Kindle
During 1996-97 MSRI held a full academic-year program on combinatorics, with special emphasis on its connections to other branches of mathematics, such as algebraic geometry, topology, commutative algebra, representation theory, and convex geometry. The rich combinatorial problems arising from the study of various algebraic structures are the subject of this book, which features work done or presented at the program's seminars. The text contains contributions on matroid bundles, combinatorial representation theory, lattice points in polyhedra, bilinear forms, combinatorial differential topology and geometry, Macdonald polynomials and geometry, enumeration of matchings, the generalized Baues problem, and Littlewood-Richardson semigroups. These expository articles, written by some of the most respected researchers in the field, present the state of the art to graduate students and researchers in combinatorics as well as in algebra, geometry, and topology.
| Author | : Jonathan A. Barmak |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 184 |
| Release | : 2011-08-24 |
| Genre | : Mathematics |
| ISBN | : 3642220029 |
Download Algebraic Topology of Finite Topological Spaces and Applications Book in PDF, ePub and Kindle
This volume deals with the theory of finite topological spaces and its relationship with the homotopy and simple homotopy theory of polyhedra. The interaction between their intrinsic combinatorial and topological structures makes finite spaces a useful tool for studying problems in Topology, Algebra and Geometry from a new perspective. In particular, the methods developed in this manuscript are used to study Quillen's conjecture on the poset of p-subgroups of a finite group and the Andrews-Curtis conjecture on the 3-deformability of contractible two-dimensional complexes. This self-contained work constitutes the first detailed exposition on the algebraic topology of finite spaces. It is intended for topologists and combinatorialists, but it is also recommended for advanced undergraduate students and graduate students with a modest knowledge of Algebraic Topology.
| Author | : Michal Kočvara |
| Publisher | : Springer Nature |
| Total Pages | : 274 |
| Release | : 2024-01-28 |
| Genre | : Mathematics |
| ISBN | : 3031386590 |
Download Polynomial Optimization, Moments, and Applications Book in PDF, ePub and Kindle
Polynomial optimization is a fascinating field of study that has revolutionized the way we approach nonlinear problems described by polynomial constraints. The applications of this field range from production planning processes to transportation, energy consumption, and resource control. This introductory book explores the latest research developments in polynomial optimization, presenting the results of cutting-edge interdisciplinary work conducted by the European network POEMA. For the past four years, experts from various fields, including algebraists, geometers, computer scientists, and industrial actors, have collaborated in this network to create new methods that go beyond traditional paradigms of mathematical optimization. By exploiting new advances in algebra and convex geometry, these innovative approaches have resulted in significant scientific and technological advancements. This book aims to make these exciting developments accessible to a wider audience by gathering high-quality chapters on these hot topics. Aimed at both aspiring and established researchers, as well as industry professionals, this book will be an invaluable resource for anyone interested in polynomial optimization and its potential for real-world applications.
