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Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups

Shrawan Kumar·George Lusztig·Dipendra Prasad
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Abstract

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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Shrawan Kumar, George Lusztig, Dipendra Prasad. 2007-09-18. Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups. https://arxiv.org/abs/math/0701615

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