August 11, 2025Physica ScriptaOpen Access

Scaling of symmetry-restricted Lie groups

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The study reveals how subspaces inherit topological properties from the group SU(n), enhancing our understanding of quantum systems.
Through a combinatorial approach, the dimensions of these subspaces were computed when represented by permutation groups and Hamiltonians.
Lie algebras for permutation-invariant groups were constructed using the Kronecker product of su(2) matrices, showing a novel method for analysis.
Numerical results confirmed the theoretical predictions about the dimensions of symmetry-restricted subspaces, supporting their practical relevance.

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This work shows properties of subspaces in su(n) groups, indicating potential applications in quantum computing.

Mansky et al. (2025) studied this question.

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