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X=M for symmetric powers | Anne Schilling
; Mark Shimozono
; | Date: |
19 Dec 2004 | Subject: | Quantum Algebra; Combinatorics MSC-class: 17B37; 81R10; 81R50; 82B23; 05A30 | math.QA math.CO | Abstract: | The X=M conjecture of Hatayama et al. asserts the equality between the one-dimensional configuration sum X expressed as the generating function of crystal paths with energy statistics and the fermionic formula M for all affine Kac--Moody algebra. In this paper we prove the X=M conjecture for tensor products of Kirillov--Reshetikhin crystals B^{1,s} associated to symmetric powers for all nonexceptional affine algebras. | Source: | arXiv, math.QA/0412376 | Services: | Forum | Review | PDF | Favorites |
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