TL;DR
This paper classifies conservation laws for the non-compact Lie group SO(p,q) by systematically constructing invariant differential operators, advancing understanding of symmetries and invariants in mathematical physics.
Contribution
It introduces a systematic method for classifying conservation laws for SO(p,q) using invariant differential operators, extending previous work on non-compact semisimple Lie groups.
Findings
Classification of conservation laws for SO(p,q)
Development of a systematic construction method
Extension of invariant differential operator theory
Abstract
Using our previous results on the systematic construction of invariant differential operators for non-compact semisimple Lie groups we classify the conservation laws in the case of SO(p,q).
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Mathematical Physics Problems · Geometric Analysis and Curvature Flows