Family algebras and generalized exponents for polyvector representations of simple Lie algebras of type B n
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We give an explicit formula for the exterior powers ∧ k π 1 of the defining representation π 1 of the simple Lie algebra ςο(2n + 1, ℂ). We use the technique of family algebras. All representations in question are children of the spinor representation σ of g2ο(2n + 1, ℂ). We also give a survey of main results on family algebras.
Key wordsfamily algebra generalized exponent representation of Lie algebra spinor representation
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- G. Lusztig, “Singularities, character formulas, and a q-analogue of Kostant’s weight multiplicity formula,” in: Analyse et Topologie sur les Espaces Singuliers (II–III), Asterisque, vol. 101–102, Soc. Math. France, Paris, 1983, 208–227.Google Scholar