## References

SHOWING 1-10 OF 20 REFERENCES

### The Symmetric Group

- Mathematics
- 1990

In this chapter, fundamentals of the symmetric group, namely, classes of permutations, Young diagrams, irreducible characters, and the construction of irreducible representations and their bases, are…

### The Representation Theory of the Symmetric Group

- Mathematics
- 2009

1. Symmetric groups and their young subgroups 2. Ordinary irreducible representations and characters of symmetric and alternating groups 3. Ordinary irreducible matrix representations of symmetric…

### On the Representation Theory of the Symmetric Groups

- Mathematics
- 2005

We present here a new approach to the description of finite-dimensional complex irreducible representations of the symmetric groups due to A. Okounkov and A. Vershik. It gives an alternative…

### Symmetric Functions Schubert Polynomials and Degeneracy Loci

- Mathematics
- 2001

Introduction The ring of symmetric functions Schubert polynomials Schubert varieties A brief introduction to singular homology Bibliography Index.

### Representation Theory: A First Course

- Mathematics
- 1991

This volume represents a series of lectures which aims to introduce the beginner to the finite dimensional representations of Lie groups and Lie algebras. Following an introduction to representation…

### Representation theory

- Psychology, Mathematics
- 2015

These are notes from the course MAT4270 on representation theory, autumn 2015. The lectures were held by Sergey Neshyevey. The notes are mine. The first half is about representations of finite…

### Construction of arbitrary Kazhdan-Lusztig polynomials in symmetric groups

- Mathematics
- 1999

To each polynomial P with integral nonnegative coefficients and constant term equal to 1, of degree d, we associate a certain pair of elements (y, w) in the symmetric group Sn, where n = 1 + d + P…

### Quiver coefficients are Schubert structure constants

- Mathematics
- 2003

We give an explicit natural identification between the quiver coefficients of Buch and Fulton, decomposition coefficients for Schubert polynomials, and the Schubert structure constants for flag…

### Asymptotics of characters of symmetric groups related to Stanley character formula

- Mathematics
- 2011

We prove an upper bound for characters of the symmetric groups. In particular, we show that there exists a constant a > 0 with a property that for every Young diagram with n boxes, r( ) rows and c( )…

### On the Analysis of the Kronecker Product of Irreducible Representations of the Symmetric Group

- Mathematics
- 1949

The Kronecker product of two irreducible matrix representations D (A), D (fi) of the symmetric group on n letters, furnishes a representation of that group, which is, in general reducible. The…