Application of graph combinatorics to rational identities of type $A^\ast$

To a word $w$, we associate the rational function $\Psi_w = \prod (x_{w_i} - x_{w_{i+1}})^{-1}$. The main object, introduced by C. Greene to generalize identities linked to Murnaghan-Nakayama rule, is a sum of its images by certain permutations of the variables. The sets of permutations that we cons...

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發表在:	Discrete Mathematics & Theoretical Computer Science
Main Authors:	Adrien Boussicault, Valentin Féray
格式:	Article
語言:	英语
出版:	Discrete Mathematics & Theoretical Computer Science 2009-01-01
主題:	posets maps rational functions [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
在線閱讀:	https://dmtcs.episciences.org/2722/pdf