Strongly nilpotent matrices and Gelfand–Zetlin modules
作者： Serge Ovsienko
DOI: 10.1016/S0024-3795(02)00675-4
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摘要: Abstract Let X n be the variety of × matrices, which k submatrices, formed by first rows and columns, are nilpotent for any =1,…, . We show, that is a complete intersection dimension ( −1) /2 deduce from it, every character Gelfand–Zetlin subalgebra in U gl ) extends to an irreducible representation ).
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