Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Nilpotent subalgebras of semisimple Lie algebras
AU - Levy, Paul
AU - McNinch, George
AU - Testerman, Donna
PY - 2009/5
Y1 - 2009/5
N2 - Let g be the Lie algebra of a semisimple linear algebraic group. Under mild conditions on the characteristic of the underlying field, one can show that any subalgebra of g consisting of nilpotent elements is contained in some Borel subalgebra. In this Note, we provide examples for each semisimple group G and for each of the torsion primes for G of nil subalgebras not lying in any Borel subalgebra of g.
AB - Let g be the Lie algebra of a semisimple linear algebraic group. Under mild conditions on the characteristic of the underlying field, one can show that any subalgebra of g consisting of nilpotent elements is contained in some Borel subalgebra. In this Note, we provide examples for each semisimple group G and for each of the torsion primes for G of nil subalgebras not lying in any Borel subalgebra of g.
M3 - Journal article
VL - 347
SP - 477
EP - 482
JO - Comptes Rendus Mathématique
JF - Comptes Rendus Mathématique
IS - 9-10
ER -