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Nilpotent elements in Lie algebras

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Publication:919449
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DOI10.1016/0021-8693(90)90282-SzbMATH Open0707.17010WikidataQ115365854 ScholiaQ115365854MaRDI QIDQ919449

Irving Kaplansky

Publication date: 1990

Published in: Journal of Algebra (Search for Journal in Brave)




zbMATH Keywords

simple Lie algebraFine-Herstein Theoremnumber of nilpotent matrices


Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Modular Lie (super)algebras (17B50)


Cites Work

  • Title not available (Why is that?)
  • The probability that a matrix be nilpotent
  • On the number of matrices with given characteristic polynomial
  • On the number of nilpotent matrices with coefficients in a finite field
  • Endomorphisms of linear algebraic groups


Related Items (4)

Nilpotency criteria for multiplicative Lie algebras ⋮ Nilpotent elements in the Jacobson-Witt algebra over a finite field ⋮ On \(\mathbb F_q\)-rational structure of nilpotent orbits in the Witt algebra ⋮ The Probability That an Operator Is Nilpotent






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