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A Finite Presentation of Universal Coverings of Lie Tori

A Finite Presentation of Universal Coverings of Lie Tori

Using the well-known recognition and structural theorem(s) for root-graded Lie algebras and their universal coverings, we give a finite presentation for the universal covering algebra of a centerless Lie torus of type X ≠ A, C, BC . We follow a unified approach for the types under consideration.