On the undecidability of Markov properties for Lie superalgebras
DOI:
https://doi.org/10.13069/jacodesmath.v12i1.321Keywords:
Markov properties, Lie superalgebra, HNN-extension, UndecidabilityAbstract
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 2024Downloads
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Published
2025-01-06
How to Cite
Najafizadeh, A., & Zargeh, C. . (2025). On the undecidability of Markov properties for Lie superalgebras. Journal of Algebra Combinatorics Discrete Structures and Applications, 12(1), 43–52. https://doi.org/10.13069/jacodesmath.v12i1.321
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