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math.GT2026
Multivariate Quandles as Groupoid Invariants
Xerxes D. Arsiwalla, Louis H. Kauffman
We introduce a new structural framework for constructing multivariate Alexander quandles based on a groupoid , composed of a disjoint union of delooping groupoids of deck…
math.RA2026
Pre-Lie Structures for Semisimple Lie Algebras
Xerxes D. Arsiwalla, Fernando Olivie Méndez Méndez
We address the problem of admissibility of pre-Lie structures associated with a given Lie algebra, particularly, semisimple Lie algebras over . Such structures are col…