Cohomology of the Schr\"odinger-Virasoro conformal algebra
Henan Wu, Lipeng Luo
TL;DR
This paper computes the cohomology groups of the Schr"odinger-Virasoro conformal algebra with trivial coefficients, providing a complete characterization of its algebraic structure.
Contribution
It explicitly determines both the basic and reduced cohomology groups of the Schr"odinger-Virasoro conformal algebra, a novel calculation in this area.
Findings
Complete determination of basic cohomology groups.
Complete determination of reduced cohomology groups.
Provides foundational results for further algebraic studies.
Abstract
Both the basic cohomology groups and the reduced cohomology groups of the Schr\"odinger-Virasoro conformal algebra with trivial coefficients are completely determined.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Quantum Mechanics and Non-Hermitian Physics