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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Displaying similar documents to “A trace formula for semi-simple Lie algebras”
On characteristic identities for Lie algebras
The duality correspondence of infinitesimal characters
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.
Representation-theoretic proof of the inner product and symmetry identities for Macdonald's polynomials
Pavel I. Etingof, Alexander A. Kirillov, Jr. (1996)
Compositio Mathematica
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Compact manifold of coherent states invariant by semisimple Lie groups
A. Cavalli, G. D'Ariano, L. Michel (1986)
Annales de l'I.H.P. Physique théorique
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Vacuum-like state analysis of the representations of the para-Fermi operators
T. Palev (1975)
Annales de l'I.H.P. Physique théorique
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Character formulae for classical groups
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].