Permutation Enumeration Of The Symmetric Group And The Combinatorics Of Symmetric Functions
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Permutation Enumeration Of The Symmetric Group And The Combinatorics Of Symmetric Functions
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Author : Desiree A. Beck
language : en
Publisher:
Release Date : 1993
Permutation Enumeration Of The Symmetric Group And The Combinatorics Of Symmetric Functions written by Desiree A. Beck and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Permutation Enumeration Of The Symmetric Group And The Hyperoctahedral Group And The Combinatorics Of Symmetric Functions
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Author : Desiree Anne Beck
language : en
Publisher:
Release Date : 1993
Permutation Enumeration Of The Symmetric Group And The Hyperoctahedral Group And The Combinatorics Of Symmetric Functions written by Desiree Anne Beck and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Counting With Symmetric Functions
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Author : Jeffrey Remmel
language : en
Publisher: Birkhäuser
Release Date : 2015-11-28
Counting With Symmetric Functions written by Jeffrey Remmel and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-28 with Mathematics categories.
This monograph provides a self-contained introduction to symmetric functions and their use in enumerative combinatorics. It is the first book to explore many of the methods and results that the authors present. Numerous exercises are included throughout, along with full solutions, to illustrate concepts and also highlight many interesting mathematical ideas. The text begins by introducing fundamental combinatorial objects such as permutations and integer partitions, as well as generating functions. Symmetric functions are considered in the next chapter, with a unique emphasis on the combinatorics of the transition matrices between bases of symmetric functions. Chapter 3 uses this introductory material to describe how to find an assortment of generating functions for permutation statistics, and then these techniques are extended to find generating functions for a variety of objects in Chapter 4. The next two chapters present the Robinson-Schensted-Knuth algorithm and a method for proving Pólya’s enumeration theorem using symmetric functions. Chapters 7 and 8 are more specialized than the preceding ones, covering consecutive pattern matches in permutations, words, cycles, and alternating permutations and introducing the reciprocity method as a way to define ring homomorphisms with desirable properties. Counting with Symmetric Functions will appeal to graduate students and researchers in mathematics or related subjects who are interested in counting methods, generating functions, or symmetric functions. The unique approach taken and results and exercises explored by the authors make it an important contribution to the mathematical literature.
Symmetric Functions Schubert Polynomials And Degeneracy Loci
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Author : Laurent Manivel
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Symmetric Functions Schubert Polynomials And Degeneracy Loci written by Laurent Manivel 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 2001 with Computers categories.
This text grew out of an advanced course taught by the author at the Fourier Institute (Grenoble, France). It serves as an introduction to the combinatorics of symmetric functions, more precisely to Schur and Schubert polynomials. Also studied is the geometry of Grassmannians, flag varieties, and especially, their Schubert varieties. This book examines profound connections that unite these two subjects. The book is divided into three chapters. The first is devoted to symmetricfunctions and especially to Schur polynomials. These are polynomials with positive integer coefficients in which each of the monomials correspond to a Young tableau with the property of being ``semistandard''. The second chapter is devoted to Schubert polynomials, which were discovered by A. Lascoux andM.-P. Schutzenberger who deeply probed their combinatorial properties. It is shown, for example, that these polynomials support the subtle connections between problems of enumeration of reduced decompositions of permutations and the Littlewood-Richardson rule, a particularly efficacious version of which may be derived from these connections. The final chapter is geometric. It is devoted to Schubert varieties, subvarieties of Grassmannians, and flag varieties defined by certain incidenceconditions with fixed subspaces. This volume makes accessible a number of results, creating a solid stepping stone for scaling more ambitious heights in the area. The author's intent was to remain elementary: The first two chapters require no prior knowledge, the third chapter uses some rudimentary notionsof topology and algebraic geometry. For this reason, a comprehensive appendix on the topology of algebraic varieties is provided. This book is the English translation of a text previously published in French.
Combinatorics Of Permutations
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Author : Miklos Bona
language : en
Publisher: CRC Press
Release Date : 2004-06-25
Combinatorics Of Permutations written by Miklos Bona and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-25 with Computers categories.
WINNER of a CHOICE Outstanding Academic Title Award for 2006! As linear orders, as elements of the symmetric group, modeled by matrices, modeled by graphspermutations are omnipresent in modern combinatorics. They are omnipresent but also multifaceted, and while several excellent books explore particular aspects of the subject, no one book h
Representations Of Permutation Groups
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Author : Adalbert Kerber
language : en
Publisher:
Release Date : 1971
Representations Of Permutation Groups written by Adalbert Kerber and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.
Formal Power Series And Algebraic Combinatorics
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Author : Daniel Krob
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Formal Power Series And Algebraic Combinatorics written by Daniel Krob and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
This book contains the extended abstracts presented at the 12th International Conference on Power Series and Algebraic Combinatorics (FPSAC '00) that took place at Moscow State University, June 26-30, 2000. These proceedings cover the most recent trends in algebraic and bijective combinatorics, including classical combinatorics, combinatorial computer algebra, combinatorial identities, combinatorics of classical groups, Lie algebra and quantum groups, enumeration, symmetric functions, young tableaux etc...
The Symmetric Group
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Author : Bruce E. Sagan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
The Symmetric Group written by Bruce E. Sagan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
This book brings together many of the important results in this field. From the reviews: ""A classic gets even better....The edition has new material including the Novelli-Pak-Stoyanovskii bijective proof of the hook formula, Stanley’s proof of the sum of squares formula using differential posets, Fomin’s bijective proof of the sum of squares formula, group acting on posets and their use in proving unimodality, and chromatic symmetric functions." --ZENTRALBLATT MATH
Representations Of Permutation Groups Ii
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Author : A. Kerber
language : en
Publisher: Springer
Release Date : 2006-11-15
Representations Of Permutation Groups Ii written by A. Kerber and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
The Combinatories Of The Permutation Enumeration Of Wreath Products Between Cyclic And Symmetric Groups
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Author : Jennifer D. Wagner
language : en
Publisher:
Release Date : 2000
The Combinatories Of The Permutation Enumeration Of Wreath Products Between Cyclic And Symmetric Groups written by Jennifer D. Wagner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
