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March 21, 2026Journal of Computational Algebra0 citationsOpen Access

The fractal symmetry in multiplicative structures of su ( 2 n ) with applications to dynamical Lie algebra computation

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MCMoody T. Chu

Key Points

  • This research aims to investigate the fractal-like symmetry in SU(2n) and develop an algorithm for calculating dynamical Lie algebra.
  • Analyzed the multiplication of basis elements in SU(2n).
  • Explored the fractal symmetry within the algebraic structure.
  • Introduced a recursive algorithm for computation of dynamical Lie algebra.
  • Identified a nested, cyclic pattern in the multiplication of basis elements.
  • Demonstrated a fractal-like symmetry within the algebra.
  • Developed an efficient algorithm for generating dynamical Lie algebra.

Abstract

This work pursues two intertwined objectives. First, it elucidates a nested, cyclic pattern inherent in the multiplication of basis elements within su ( 2 n ) , revealing a delicate, fractal-like symmetry at the heart of the algebra. Second, building upon this structural insight, it introduces a recursive algorithm that efficiently determines the dynamical Lie algebra generated by any collection of elements in su ( 2 n ) .

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Cite This Study

Moody T. Chu (2026) studied this question.

synapsesocial.com/papers/69be34af6e48c4981c672cd7https://doi.org/10.1016/j.jaca.2026.100045
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