Özet:

In this paper, our main objective is to combinatorially obtain all characteristic class functions of the Weyl group of type G2 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 G2 in terms of the permutation characters defined on the set of cosets belonging to each of its some special subgroups.

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