Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups
نویسندگان
چکیده
Let G be a connected, simply-connected, almost simple algebraic group of simplylaced type over C and let σ be a diagram automorphism of G. Let Gσ = ((G)) be the L-dual of the fixed point subgroup of σ on the L-dual of G. In this paper we relate the character of a finite dimensional irreducible representation of the disconnected algebraic group G〈σ〉 (generated by G and σ) on the connected component Gσ ⊂ G〈σ〉 to the character of a certain finite dimensional irreducible representation of Gσ.
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