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Compatibility in abstract algebraic structures (1997)
| Content Provider | CiteSeerX |
|---|---|
| Author | Fuchssteiner, Benno |
| Description | Compatible Hamiltonian pairs play a crucial role in the structure the-ory of integrable systems. In this paper we consider the question of how much of the structure given by compatibility is bound to the situation of hamiltonian dynamic systems and how much of that can be transferred to a complete abstract situation where the algebraic structures under con-sideration are given by bilinear maps on some module over a commutative ring. Under suitable modification of the corresponding definitions, it turns out that notions like, compatible, hereditary, invariance and Virasoro al-gebra may be transferred to the general abstract setup. Thus the same methods being so successful in the area of integrable systems, may be ap-plied to generate suitable abelian algebras and hierarchies in very general algebraic structures. 1 |
| File Format | |
| Language | English |
| Publisher | Birkhäuser |
| Publisher Date | 1997-01-01 |
| Publisher Institution | Algebraic Aspects of Integrable Systems |
| Access Restriction | Open |
| Subject Keyword | Virasoro Al-gebra Compatible Hamiltonian Pair Corresponding Definition Hamiltonian Dynamic System Suitable Abelian Algebra Bilinear Map Algebraic Structure Integrable System Abstract Algebraic Structure Crucial Role Commutative Ring Suitable Modification Structure The-ory General Abstract Setup General Algebraic Structure Complete Abstract Situation |
| Content Type | Text |
| Resource Type | Article |
