Abstract
In this paper, our main objective is to combinatorially obtain all characteristic class functions of the Weyl group of type G_2 with the help of the structure of generalized descent algebra including Solomon’s descent algebra and Mantaci-Reutenauer algebra. We also give an interpretation of the character table of the Weyl group of type G_2 in terms of the permutation characters defined on the set of cosets belonging to each of its some special subgroups.
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