scholarly journals Rigged configurations as tropicalizations of loop schur functions

2017 ◽  
Vol 2 (1) ◽  
Author(s):  
Travis Scrimshaw
Keyword(s):  
Schur Functions ◽  
Rigged Configurations

scholarly journals Rigged configurations and cylindric loop Schur functions

2018 ◽  
Vol 5 (4) ◽  
pp. 513-555 ◽  
Author(s):  
Thomas Lam ◽  
Pavlo Pylyavskyy ◽  
Reiho Sakamoto
Keyword(s):  
Schur Functions ◽  
Rigged Configurations

DECOMPOSITION OF SYMMETRIC AND EXTERIOR POWERS OF THE ADJOINT REPRESENTATION OF ${\mathfrak g}l_N$ 1: UNIMODALITY OF PRINCIPAL SPECIALIZATION OF THE INTERNAL PRODUCT OF THE SCHUR FUNCTIONS

1992 ◽  
Vol 07 (supp01b) ◽  
pp. 545-579 ◽  
Author(s):  
ANATOL N. KIRILLOV
Keyword(s):  
Lie Algebra ◽  
Schur Functions ◽  
Exact Formula ◽  
Adjoint Representation ◽  
Combinatorial Approach ◽  
Rigged Configurations ◽  
Irreducible Components ◽  
Exterior Powers ◽  
Principal Specialization

The problem of decomposing the symmetric and exterior algebras of the adjoint representation of the Lie algebra [Formula: see text] into [Formula: see text]-irreducible components are considered. The exact formula for the principal specialization of the internal product of the Schur functions (similar to the formula for Kostka-Foulkes polynomials) is obtained by the purely combinatorial approach, based on the theory of rigged configurations. The stable behaviour of some polynomials is studied. Different examples are presented.

Optimal Assembly of Systems Using Schur-Functions and Majorization.

1986 ◽  
Author(s):  
Emad El-Neweihi ◽  
Frank Proschan ◽  
Jayaram Sethuraman
Keyword(s):  
Schur Functions ◽  
Optimal Assembly

scholarly journals Proof of a positivity conjecture on Schur functions

2013 ◽  
Vol 120 (3) ◽  
pp. 644-648 ◽  
Author(s):  
William Y.C. Chen ◽  
Anne X.Y. Ren ◽  
Arthur L.B. Yang
Keyword(s):  
Schur Functions

scholarly journals A non-commutative generalization of k-Schur functions

2009 ◽  
Vol 309 (16) ◽  
pp. 5092-5105
Author(s):  
Nantel Bergeron ◽  
François Descouens ◽  
Mike Zabrocki
Keyword(s):  
Schur Functions
Sign in / Sign up

Export Citation Format

Share Document