Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups

Details Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups

2007-01-22

arxiv.org/abs/math/0701615v3

Mathematics

Representation Theory

3 pages

Scientific paper

In this paper we show how a theorem of Jantzen relating the character of a
finite dimensional irreducible representation of a disconnected semisimple
algebraic group on elements outside the connected component of identity to
character of an irreducible representation of another connected semisimple
algebraic group can be deduced from properties of the canonical bases.

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