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Combinatorics Of Minuscule Representations


Combinatorics Of Minuscule Representations
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Combinatorics Of Minuscule Representations


Combinatorics Of Minuscule Representations
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Author : R. M. Green
language : en
Publisher:
Release Date : 2013

Combinatorics Of Minuscule Representations written by R. M. Green and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Combinatorial analysis categories.


Uses the combinatorics and representation theory to construct and study important families of Lie algebras and Weyl groups.



Combinatorics Of Minuscule Representations


Combinatorics Of Minuscule Representations
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Author : R. M. Green
language : en
Publisher: Cambridge University Press
Release Date : 2013-02-21

Combinatorics Of Minuscule Representations written by R. M. Green and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-21 with Mathematics categories.


Uses the combinatorics and representation theory to construct and study important families of Lie algebras and Weyl groups.



Schubert Calculus And Its Applications In Combinatorics And Representation Theory


Schubert Calculus And Its Applications In Combinatorics And Representation Theory
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Author : Jianxun Hu
language : en
Publisher: Springer Nature
Release Date : 2020-10-24

Schubert Calculus And Its Applications In Combinatorics And Representation Theory written by Jianxun Hu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-24 with Mathematics categories.


This book gathers research papers and surveys on the latest advances in Schubert Calculus, presented at the International Festival in Schubert Calculus, held in Guangzhou, China on November 6–10, 2017. With roots in enumerative geometry and Hilbert's 15th problem, modern Schubert Calculus studies classical and quantum intersection rings on spaces with symmetries, such as flag manifolds. The presence of symmetries leads to particularly rich structures, and it connects Schubert Calculus to many branches of mathematics, including algebraic geometry, combinatorics, representation theory, and theoretical physics. For instance, the study of the quantum cohomology ring of a Grassmann manifold combines all these areas in an organic way. The book is useful for researchers and graduate students interested in Schubert Calculus, and more generally in the study of flag manifolds in relation to algebraic geometry, combinatorics, representation theory and mathematical physics.



Enumerative Combinatorics Volume 2


Enumerative Combinatorics Volume 2
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Author : Richard P. Stanley
language : en
Publisher: Cambridge University Press
Release Date : 1997

Enumerative Combinatorics Volume 2 written by Richard P. Stanley and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.


An introduction, suitable for beginning graduate students, showing connections to other areas of mathematics.



Recent Trends In Combinatorics


Recent Trends In Combinatorics
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Author : Andrew Beveridge
language : en
Publisher: Springer
Release Date : 2016-04-12

Recent Trends In Combinatorics written by Andrew Beveridge and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-12 with Mathematics categories.


This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute for Mathematics and its Applications during Fall 2014, when combinatorics was the focus. Leading experts have written surveys of research problems, making state of the art results more conveniently and widely available. The three-part structure of the volume reflects the three workshops held during Fall 2014. In the first part, topics on extremal and probabilistic combinatorics are presented; part two focuses on additive and analytic combinatorics; and part three presents topics in geometric and enumerative combinatorics. This book will be of use to those who research combinatorics directly or apply combinatorial methods to other fields.



Recent Trends In Algebraic Combinatorics


Recent Trends In Algebraic Combinatorics
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Author : Hélène Barcelo
language : en
Publisher: Springer
Release Date : 2019-01-21

Recent Trends In Algebraic Combinatorics written by Hélène Barcelo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-21 with Mathematics categories.


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.



New Perspectives In Algebraic Combinatorics


New Perspectives In Algebraic Combinatorics
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Author : Louis J. Billera
language : en
Publisher: Cambridge University Press
Release Date : 1999-09-28

New Perspectives In Algebraic Combinatorics written by Louis J. Billera and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-09-28 with Mathematics categories.


This text contains expository contributions by respected researchers on the connections between algebraic geometry, topology, commutative algebra, representation theory, and convex geometry.



Journal Of Algebraic Combinatorics


Journal Of Algebraic Combinatorics
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Author :
language : en
Publisher:
Release Date : 2001

Journal Of Algebraic Combinatorics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Algebra categories.




Interaction Of Combinatorics And Representation Theory


Interaction Of Combinatorics And Representation Theory
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Author : John Reese Stembridge
language : en
Publisher:
Release Date : 2001

Interaction Of Combinatorics And Representation Theory written by John Reese Stembridge and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Combinatorial analysis categories.




Finite Simple Groups Thirty Years Of The Atlas And Beyond


Finite Simple Groups Thirty Years Of The Atlas And Beyond
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Author : Manjul Bhargava
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-07-24

Finite Simple Groups Thirty Years Of The Atlas And Beyond written by Manjul Bhargava and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-24 with Atlas of finite groups categories.


Classification of Finite Simple Groups, one of the most monumental accomplishments of modern mathematics, was announced in 1983 with the proof completed in 2004. Since then, it has opened up a new and powerful strategy to approach and resolve many previously inaccessible problems in group theory, number theory, combinatorics, coding theory, algebraic geometry, and other areas of mathematics. This strategy crucially utilizes various information about finite simple groups, part of which is catalogued in the Atlas of Finite Groups (John H. Conway et al.), and in An Atlas of Brauer Characters (Christoph Jansen et al.). It is impossible to overestimate the roles of the Atlases and the related computer algebra systems in the everyday life of researchers in many areas of contemporary mathematics. The main objective of the conference was to discuss numerous applications of the Atlases and to explore recent developments and future directions of research, with focus on the interaction between computation and theory and applications to number theory and algebraic geometry. The papers in this volume are based on talks given at the conference. They present a comprehensive survey on current research in all of these fields.