Campoamor Stursberg, Otto-Rudwig2023-06-202023-06-2020081682-0525https://hdl.handle.net/20.500.14352/50750Escrito en rusoLet L be a finite-dimensional complex Lie algebra with a basis X1,…,Xn and L∗ the dual space with a dual basis x1,…,xn. Suppose that [Xi,Xj]=∑kckijXk. Then there exists a (co)representation Xi↦∑k,jckijxk∂∂xj of L in the space of analytic functions on L∗. A function F is invariant if Xi∘F(x1,…,xn)=∑k,jckijxk∂∂xjF(x1,…,xn). In the case of a pseudo-orthogonal algebra Iso(p,q) the author finds a maximal algebraically independent system of invariants C1,…,Cm consisting of Casimir operators where m=[p+q−12]. It is shown that invariants of the Weyl algebra W(p,q) have the form IJ−1, where I and J are invariants for Iso(p,q).journal articlemetadata only access512Coadjoint orbitsNilpotent varietiesÁlgebra1201 Álgebra