Chapter

The Grothendieck Festschrift

Volume 88 of the series Progress in Mathematics pp 481-495

Linear Simple Lie Algebras and Ranks of Operators

  • Yu. G. ZarhinAffiliated withResearch Computing Center USSR, Academy of Sciences

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Abstract

We discuss spectra of operators in irreducible finite-dimensional representations of simple Lie algebras. We give lower bounds for the rank of non-zero operators in the representations.