Noncommutative Character Theory Of The Symmetric Group

Description

A new approach to the character theory of the symmetric group has been developed during the past fifteen years which is in many ways more efficient, more transparent, and more elementary. In this approach, to each permutation is assigned a class function of the read.freeduan.com corresponding symmetric group. Problems in character theory can thereby be transferred into a completely different setting and reduced to combinatorial problems on permutations in a natural and uniform way.
This is the first account in book form entirely devoted to the new “noncommutative method”. As a modern and comprehensive survey of the classical theory the book contains such fundamental results as the Murnaghan–Nakayama and Littlewood–Richardson rules as well as more recent applications in enumerative combinatorics and in the theory of the free Lie algebra. But it is also an introduction to the vibrant theory of certain combinatorial Hopf algebras such as the Malvenuto–Reutenauer algebra of permutations.
The three detailed appendices on group characters, the Solomon descent algebra and the Robinson–Schensted correspondence makes the material self-contained and suitable for undergraduate level. Students and researchers alike will find that noncommutative character theory is a source of inspiration and an illuminating approach to this versatile field of algebraic combinatorics.

Disclaimer:
Contents of this page are indexed from the Internet. All actions are under your responsability. Email us to report illegal contents or external links and we'll remove them immediately.

Please check the description for download links if any or do a search to find alternative books.

Can't Download?
Please search mirrors if you can't find download links for "Noncommutative Character Theory Of The Symmetric Group" in "Description" and someone else may update the links. Check the comments when back to find any updates.

Search Mirrors
Maybe some mirror pages will be helpful, search this book at top of this page or click here to find more info.

1. Ebooks list page : 3081
2. The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions, Second Edition
3. Noncommutative Spacetimes: Symmetries in Noncommutative Geometry and Field Theory
4. Group Characters, Symmetric Functions, and the Hecke Algebra
5. Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group
6. Representation Theory and Noncommutative Harmonic Analysis I (Encyclopaedia of Mathematical Sciences)
7. Representation Theory and Noncommutative Harmonic Analysis I (Encyclopaedia of Mathematical Sciences)
8. Representation Theory and Noncommutative Harmonic Analysis II (Encyclopedia of Mathematical Sciences Series)
9. Lanczos Algorithms for Large Symmetric Eigenvalue Computations Volume 1: Theory (Classics in Applied Mathematics)
10. Character Counts : The Creation and Building of the Vanguard Group
11. Dreams in Group Psychotherapy: Theory and Technique (International Library of Group Analysis 18)
12. Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators
13. Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators
14. Elementary Number Theory, Group Theory and Ramanujan Graphs
15. Combinatorial Number Theory and Additive Group Theory
16. Character Theory of Finite Groups