TL;DR
This paper computes the Leibniz homology of the Schrödinger algebra and the full Galilei algebra, revealing their structure as graded vector spaces generated by tensors in specific dimensions.
Contribution
It provides the first explicit calculation of Leibniz homology for these important symmetry algebras in mathematical physics.
Findings
Leibniz homology of Schrödinger algebra is generated by tensors in dimensions 2n-2 and 2n.
Leibniz homology of the full Galilei algebra is also determined.
The homology has a graded vector space structure.
Abstract
In this paper, we compute the Leibniz homology of the Schr\"{o}dinger algebra. We show that it is a graded vector space generated by tensors in dimensions and . The Leibniz homology of the full Galilei algebra is also calculated.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons