Biderivations serve as bilinear mappings that satisfy derivation conditions in each argument of a Lie algebra. They offer a refined tool to probe the structure of Lie algebras, delineating both inner ...

Algebraic groups and Lie algebras form a fundamental cornerstone in contemporary mathematics, intertwining the geometric framework of algebraic varieties with the analytic structure of continuous ...

It is proved that in a free nilpotent Lie algebra there are no nonabelian ideals which are free nilpotent as subalgebras. It is also shown that, for any proper ideal S of a free Lie algebra F, the ...

Let V be a finite-dimensional module for the finite-dimensional Lie algebra L over a field of characteristic zero. If $V^\lambda = \{v \in V|\quad\text{all}\quad x ...