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International conference "Algebraic Groups and Lie Groups" on the occasion of the 70th birthday of Vladimir L. Popov
October 4, 2016 12:40–13:30, Moscow, Steklov Mathematical Institute, room 530 (Gubkina 8)
 


Small representations in the exterior algebra of a simple Lie algebra: problems

Corrado De Concini

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Abstract: In the talk we shall review various problems and recall few results regarding the graded dimension of the space $Hom_{\mathfrak g}(V,\bigwedge{\mathfrak g})$, ${\mathfrak g}$ a simple Lie algebra over the complex numbers, $V$ a small irreducible ${\mathfrak g}$ module, and its structure as a module over the invariants $\bigwedge{\mathfrak g}^{\mathfrak g}$.

Language: English

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