4 problems

Let $U_{q,r}(so(N+2))$ be the quantum orthogonal universal enveloping algebra generated by the ordered elements described above, and let a monomial of type … be formed, where the p…

Let $L$ be a mock-Lie algebra, and let $U(L)$ denote its universal enveloping algebra. The Poincaré–Birkhoff–Witt theorem holds for $L$ when the ordered monomials in a basis of $L$…

Let $p>0$ be the characteristic of a field ${\bf k}$, let $K={\bf k}[y_1,y_2,y_3\mid y_i^p=0,\ i=1,2,3]$, and let … Let $\Lambda_p$ denote the Jacobson-Zassenhaus Lie polynomial, s…

Let $p>0$ be the characteristic of a field ${\bf k}$, let … and define the Lie $K$-algebra … A Lie algebra over a commutative algebra is special if it embeds into an associative al…