On characteristic identities for Lie algebras
D. M. O'Brien, A. Cant, A. L. Carey (1977)
Annales de l'I.H.P. Physique théorique
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D. M. O'Brien, A. Cant, A. L. Carey (1977)
Annales de l'I.H.P. Physique théorique
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Tomasz Przebinda (1996)
Colloquium Mathematicae
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We determine the correspondence of infinitesimal characters of representations which occur in Howe's Duality Theorem. In the appendix we identify the lowest K-types, in the sense of Vogan, of the unitary highest weight representations of real reductive dual pairs with at least one member compact.
Pavel I. Etingof, Alexander A. Kirillov, Jr. (1996)
Compositio Mathematica
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A. Cavalli, G. D'Ariano, L. Michel (1986)
Annales de l'I.H.P. Physique théorique
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T. Palev (1975)
Annales de l'I.H.P. Physique théorique
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Péter Frenkel (2006)
Open Mathematics
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We give formulae relating the value Xλ (g) of an irreducible character of a classical group G to entries of powers of the matrix g ε G. This yields a far-reaching generalization of a result of J.L. Cisneros-Molina concerning the GL 2 case [1].