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The characters of irreducible finite dimensional representations of compactsimple Lie group G are invariant with respect to the action of the Weyl groupW(G) of G. The defining property of the new character-like functions ("hybridcharacters") is the fact that W(G) acts differently on the character termcorresponding to the long roots than on those corresponding to the short roots.Therefore the hybrid characters are defined for the simple Lie groups with twodifferent lengths of their roots. Dominant weight multiplicities for the hybridcharacters are determined. The formulas for "hybrid dimensions" are also foundfor all cases as the zero degree term in power expansion of the "hybridcharacters".

Dominant weight multiplicities in hybrid characters of Bn, Cn, F4, G2