Defines new monoids SLM_n and VSLM_n and develops k-local and Φ-type extensions showing every 2-local representation of L_n extends to both, with explicit computation for a specific representation μ to GL_n(Z[t±1]).
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2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
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The multi-virtual twin group M_kVT_n admits exactly eight distinct homogeneous 2-local representations into GL_n(C) for n >= 3; these are generally unfaithful but irreducible under explicit conditions, with induced non-local representations constructed for the pure subgroup.
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On the structure of the singular triplet monoid and its virtual extension
Defines new monoids SLM_n and VSLM_n and develops k-local and Φ-type extensions showing every 2-local representation of L_n extends to both, with explicit computation for a specific representation μ to GL_n(Z[t±1]).
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Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups
The multi-virtual twin group M_kVT_n admits exactly eight distinct homogeneous 2-local representations into GL_n(C) for n >= 3; these are generally unfaithful but irreducible under explicit conditions, with induced non-local representations constructed for the pure subgroup.