Permutation Enumeration of the Symmetric Group and the Combinatorics of Symmetric Functions PDF Download
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Author: Desiree A. Beck
Publisher:
ISBN:
Category :
Languages : en
Pages : 80
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Book Description
Author: Desiree A. Beck
Publisher:
ISBN:
Category :
Languages : en
Pages : 80
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Book Description
Author: Desiree Anne Beck
Publisher:
ISBN:
Category :
Languages : en
Pages : 402
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Book Description
Author: Jeffrey Remmel
Publisher: Birkhäuser
ISBN: 3319236180
Category : Mathematics
Languages : en
Pages : 297
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Book Description
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.
Author: Jennifer D. Wagner
Publisher:
ISBN:
Category :
Languages : en
Pages : 366
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Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 782
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Author: Anthony Mendes
Publisher:
ISBN:
Category :
Languages : en
Pages : 306
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 916
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Book Description
Author: A. A. Ivanov
Publisher: World Scientific
ISBN: 9789812564481
Category : Mathematics
Languages : en
Pages : 350
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Book Description
Over the past 20 years, the theory of groups in particular simplegroups, finite and algebraic has influenced a number of diverseareas of mathematics. Such areas include topics where groups have beentraditionally applied, such as algebraic combinatorics, finitegeometries, Galois theory and permutation groups, as well as severalmore recent developments.
Author: Thomas Langley
Publisher:
ISBN:
Category :
Languages : en
Pages : 404
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Book Description
Author: Bruce Landman
Publisher: Walter de Gruyter
ISBN: 3110280612
Category : Mathematics
Languages : en
Pages : 168
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Book Description
This volume contains selected refereed papers based on lectures presented at the "Integers Conference 2011", an international conference in combinatorial number theory that was held in Carrollton, Georgia, United States in October 2011. This was the fifth Integers Conference, held bi-annually since 2003. It featured plenary lectures presented by Ken Ono, Carla Savage, Laszlo Szekely, Frank Thorne, and Julia Wolf, along with sixty other research talks. This volume consists of ten refereed articles, which are expanded and revised versions of talks presented at the conference. They represent a broad range of topics in the areas of number theory and combinatorics including multiplicative number theory, additive number theory, game theory, Ramsey theory, enumerative combinatorics, elementary number theory, the theory of partitions, and integer sequences.
