2 papers
math.RA2025
HNN extensions of Lie superalgebras
Dessislava H. Kochloukova, Victor Petrogradsky
We explicitly describe the structure of HNN extensions of Lie superalgebras. We specify their bases. Moreover, we prove that the HNN extension is a direct sum of two subalgebras: o…
math.RA2024
The Fibonacci Lie algebra is not finitely presented
Dessislava H. Kochloukova, Victor Petrogradsky
We prove that the Fibonacci Lie algebra and the related just infinite self-similar Lie algebra are not finitely presented.