On the undecidability of Markov properties for Lie superalgebras
Alireza Najafizadeh, Chia Zargeh
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Published: Jan 6, 2025
DOI: 10.13069/jacodesmath.v12i1.321
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In this note, we address an algorithmic problem for Lie superalgebras. As a starting point, we use the Theory of Gröbner-Shirshov bases in order to find a normal form for Higman-Neumann-Neumann-extension (HNN-extension, for short) of Lie superalgebras. Then by using HNN-extension we show that there is no algorithm to determine whether a finitely presented Lie superalgebra satisfies Markov properties. Received: 11 March 2024 | Accepted: 3 November 2024
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