Download E-books Asymptotic Representation Theory of the Symmetric Group and its Applications in Analysis (Translations of Mathematical Monographs) PDF

By S. V. Kerov

This e-book reproduces the doctoral thesis written by way of a awesome mathematician, Sergei V. Kerov. His premature loss of life at age fifty four left the mathematical group with an in depth physique of labor and this distinctive monograph. In it, he supplies a transparent and lucid account of effects and strategies of asymptotic illustration conception. The publication is a distinct resource of knowledge at the very important subject of present examine. Asymptotic illustration conception of symmetric teams bargains with difficulties of 2 forms: asymptotic homes of representations of symmetric teams of enormous order and representations of the proscribing item, i.e., the limitless symmetric team. the writer contributed considerably within the improvement of either instructions. His publication offers an account of those contributions, in addition to these of alternative researchers. one of the difficulties of the 1st sort, the writer discusses the houses of the distribution of the normalized cycle size in a random permutation and the restricting form of a random (with appreciate to the Plancherel degree) younger diagram. He additionally reports stochastic houses of the deviations of random diagrams from the restricting curve. one of the difficulties of the second one style, Kerov reviews a massive challenge of computing irreducible characters of the limitless symmetric crew. This results in the examine of a continuing analog of the idea of younger diagram, and particularly, to a continual analogue of the hook stroll set of rules, that is renowned within the combinatorics of finite younger diagrams. In flip, this development presents a very new description of the relation among the classical second difficulties of Hausdorff and Markov. The booklet is appropriate for graduate scholars and examine mathematicians drawn to illustration concept and combinatorics.

Show description

Read or Download Asymptotic Representation Theory of the Symmetric Group and its Applications in Analysis (Translations of Mathematical Monographs) PDF

Similar Abstract books

Fundamentals of the Theory of Groups . Graduate Texts in Mathematics 62

The current version differs from the 1st in numerous locations. specifically our remedy of polycyclic and in the neighborhood polycyclic groups-the so much normal generalizations of the classical suggestion of a finite soluble group-has been improved. We thank Ju. M. Gorcakov, V. A. Curkin and V. P. Sunkov for lots of necessary feedback.

The Geometry of Discrete Groups (Graduate Texts in Mathematics) (v. 91)

This article is meant to function an advent to the geometry of the motion of discrete teams of Mobius modifications. the subject material has now been studied with altering issues of emphasis for over 100 years, the latest advancements being attached with the speculation of 3-manifolds: see, for instance, the papers of Poincare [77] and Thurston [101].

A Course in Homological Algebra (Graduate Texts in Mathematics)

Homological algebra has discovered loads of functions in lots of fields starting from finite and limitless staff thought to illustration thought, quantity conception, algebraic topology and sheaf conception. within the re-creation of this extensive creation to the sector, the authors handle a couple of decide upon issues and describe their purposes, illustrating the diversity and intensity in their advancements.

Exercises for Fourier Analysis

Fourier research is an essential device for physicists, engineers and mathematicians. a large choice of the thoughts and purposes of fourier research are mentioned in Dr. Körner's hugely well known e-book, An creation to Fourier research (1988). during this publication, Dr. Körner has compiled a set of routines on Fourier research that might completely attempt the reader's figuring out of the topic.

Extra info for Asymptotic Representation Theory of the Symmetric Group and its Applications in Analysis (Translations of Mathematical Monographs)

Show sample text content

Rated 4.23 of 5 – based on 17 votes