Asymptotics of Harish-Chandra-Itzykson-Zuber integrals and of Schur polynomials

2009 ◽  
pp. 211-216
Author(s):  
Alice Guionnet
Keyword(s):  
Schur Polynomials

PHASE CONDITIONS FOR SCHUR POLYNOMIALS

2002 ◽  
Vol 35 (1) ◽  
pp. 187-191 ◽  
Author(s):  
L.H. Keel ◽  
S.P. Bhattacharyya
Keyword(s):  
Schur Polynomials

scholarly journals Pieri’s formula for generalized Schur polynomials

2007 ◽  
Vol 26 (1) ◽  
pp. 27-45
Author(s):  
Yasuhide Numata
Keyword(s):  
Schur Polynomials

scholarly journals Symmetric Functions for the Generating Matrix of the Yangian of $\mathfrak{gl}_n({\Bbb C})$

10.37236/217 ◽  
2009 ◽  
Vol 16 (1) ◽  
Author(s):  
Natasha Rozhkovskaya
Keyword(s):  
Symmetric Functions ◽  
Combinatorial Identities ◽  
Schur Polynomials ◽  
Generating Matrix

Analogues of classical combinatorial identities for elementary and homogeneous symmetric functions with coefficients in the Yangian are proved. As a corollary, similar relations are deduced for shifted Schur polynomials.

scholarly journals Drinfeld-Sokolov Hierarchies, Tau Functions, and Generalized Schur Polynomials

2018 ◽  
Author(s):  
Mattia Cafasso ◽  
◽  
Ann du Crest de Villeneuve ◽  
Di Yang ◽  
◽  
...  
Keyword(s):  
Schur Polynomials ◽  
Tau Functions

scholarly journals Invariant valuations on quaternionic vector spaces

2012 ◽  
Vol 11 (3) ◽  
pp. 467-499 ◽  
Author(s):  
Andreas Bernig
Keyword(s):  
Vector Space ◽  
Vector Spaces ◽  
Young Diagrams ◽  
Schur Polynomials ◽  
Combinatorial Dimension ◽  
Translation Invariant

AbstractThe spaces of Sp(n)-, Sp(n) · U(1)- and Sp(n) · Sp(1)-invariant, translation-invariant, continuous convex valuations on the quaternionic vector space ℍn are studied. Combinatorial dimension formulae involving Young diagrams and Schur polynomials are proved.

Tokuyama’s Theorem

2011 ◽  
Author(s):  
Ben Brubaker ◽  
Daniel Bump ◽  
Solomon Friedberg
Keyword(s):  
Eisenstein Series ◽  
Whittaker Function ◽  
Character Formula ◽  
Schur Polynomials ◽  
Normalization Constant ◽  
Small Letter ◽  
Weyl Character Formula

This chapter introduces the Tokuyama's Theorem, first by writing the Weyl character formula and restating Schur polynomials, the values of the Whittaker function multiplied by the normalization constant. The λ‎-parts of Whittaker coefficients of Eisenstein series can be profitably regarded as a deformation of the numerator in the Weyl character formula. This leads to deformations of the Weyl character formula. Tokuyama gave such a deformation. It is an expression of ssubscript Greek small letter lamda(z) as a ratio of a numerator to a denominator. The denominator is a deformation of the Weyl denominator, and the numerator is a sum over Gelfand-Tsetlin patterns with top row λ‎ + ρ‎.

A class ofA-stable two-step methods based on Schur polynomials

1972 ◽  
Vol 12 (4) ◽  
pp. 468-474 ◽  
Author(s):  
H. Brunner
Keyword(s):  
Schur Polynomials
Sign in / Sign up

Export Citation Format

Share Document