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Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups
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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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Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair
For s_λ(μ_t, z, z^{-1}), the evaluation is zero or a signed product of three hyperbolic sine factors read from the t-residue profile, for every t and every shape.
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