scholarly journals Rigged configurations and the ⁎-involution for generalized Kac–Moody algebras

2021 ◽  
Vol 573 ◽  
pp. 148-168
Author(s):  
B. Salisbury ◽  
T. Scrimshaw
Keyword(s):  
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

scholarly journals Connecting Marginally Large Tableaux and Rigged Configurations via Crystals

2016 ◽  
Vol 19 (3) ◽  
pp. 523-546 ◽  
Author(s):  
Ben Salisbury ◽  
Travis Scrimshaw
Keyword(s):  
Rigged Configurations

scholarly journals Promotion Operator on Rigged Configurations of Type $A$

10.37236/296 ◽  
2010 ◽  
Vol 17 (1) ◽  
Author(s):  
Anne Schilling ◽  
Qiang Wang
Keyword(s):  
Tensor Products ◽  
Type A ◽  
Rigged Configurations ◽  
Promotion Operator

In an earlier paper of the first author, the analogue of the promotion operator on crystals of type $A$ under a generalization of the bijection of Kerov, Kirillov and Reshetikhin between crystals (or Littlewood–Richardson tableaux) and rigged configurations was proposed. In this paper, we give a proof of this conjecture. This shows in particular that the bijection between tensor products of type $A_n^{(1)}$ crystals and (unrestricted) rigged configurations is an affine crystal isomorphism.

Sign in / Sign up

Export Citation Format

Share Document