Derivations of Lie Algebras of Dominant Upper Triangular Ladder Matrices

Abstract

We explicitly describe the Lie algebras $M_L$ of ladder matrices in $M_n$ associate with dominant upper triangular ladders $L$, and completely characterize the derivations of these $M_L$ over a field $F$ with $char(F)\ne 2$. We also completely characterize the derivations of Lie algebras $[M_L,M_L]$ where $L$ are strongly dominant upper triangular ladders and $char(F)\ne 2,3$.

arXiv comment26 pages

References in corpus (1)

• On derivations of parabolic Lie algebras

Cited by in corpus (1)

• Derivations of the Lie algebra of strictly block upper triangular matrices