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Titlebook: Elements of Superintegrable Systems; Basic Techniques and B. A. Kupershmidt Book 1987 D. Reidel Publishing Company, Dordrecht, Holland 1987

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樓主: 駝峰
11#
發(fā)表于 2025-3-23 11:02:44 | 只看該作者
978-94-010-8190-0D. Reidel Publishing Company, Dordrecht, Holland 1987
12#
發(fā)表于 2025-3-23 16:21:38 | 只看該作者
Geoffrey D. Maitland MBE, AUA, FCSF, FACP objects are: evolution fields; differential forms; variational derivatives; Fréchet derivatives; adjoint operators. The main results are: formula for the first variation; transformation properties of functional derivates; full description of both the Kernel and the Image of the variational operator.
13#
發(fā)表于 2025-3-23 21:58:57 | 只看該作者
Funktion:Sprache als Abbildungsmediumsidue. The main results are: supersymmetry and invariance of the form ‘supertrace of the Residue of the product’ on the Lie superalgebra of matrix pseudo-differential operators; formula for the supertrace of the Residue of the differential of a power of a matrix pseudo-differential operator.
14#
發(fā)表于 2025-3-23 23:38:53 | 只看該作者
https://doi.org/10.1007/978-3-658-32811-5or . (5.5); the Lax equations (5.10); the centralizer . of . (Definition 5.7); admissible elements (Definition 5.15). The main results are: the full description of . (Theorem 5.36); the supercommutativity of Lax derivations (Theorem 5.80); a construction of an infinite common set of conservation laws for Lax derivations (Theorem 5.81).
15#
發(fā)表于 2025-3-24 03:47:20 | 只看該作者
https://doi.org/10.1007/978-3-658-41305-7ations (5.10) and associated to it Lie superalgebras (Theorems 6.21 and 6.26), describe elements in the Kernel of this Hamiltonian structure (Theorem 6.32), and examine the problem of nontriviality of ..’s (Theorem 6.34).
16#
發(fā)表于 2025-3-24 06:33:53 | 只看該作者
17#
發(fā)表于 2025-3-24 13:06:46 | 只看該作者
18#
發(fā)表于 2025-3-24 18:31:42 | 只看該作者
Residue Calculus in Modules of Differential Forms over Superalgebras of Pseudo-Differential Operatorsidue. The main results are: supersymmetry and invariance of the form ‘supertrace of the Residue of the product’ on the Lie superalgebra of matrix pseudo-differential operators; formula for the supertrace of the Residue of the differential of a power of a matrix pseudo-differential operator.
19#
發(fā)表于 2025-3-24 21:40:00 | 只看該作者
20#
發(fā)表于 2025-3-25 01:13:46 | 只看該作者
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