Lie algebra computations

P.K.H. Gragert

doi:10.1007/BF00046574

Lie algebra computations

P.K.H. Gragert

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Abstract

In the context of prolongation theory, introduced by Wahlquist and Estabrook, computations of a lot of Jacobi identities in (infinite-dimensional) Lie algebras are necessary. These computations can be done (automatically) using ‘symbolic computations’. A package written in REDUCE is demonstrated to give an idea of the chosen approach.

Original language	Undefined
Pages (from-to)	231-242
Journal	Acta applicandae mathematicae
Volume	16
Issue number	2
DOIs	https://doi.org/10.1007/BF00046574
Publication status	Published - 1989

Keywords

IR-85617

Access to Document

10.1007/BF00046574

Gragert_10.1007_BF00046574

Cite this

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title = "Lie algebra computations",

abstract = "In the context of prolongation theory, introduced by Wahlquist and Estabrook, computations of a lot of Jacobi identities in (infinite-dimensional) Lie algebras are necessary. These computations can be done (automatically) using {\textquoteleft}symbolic computations{\textquoteright}. A package written in REDUCE is demonstrated to give an idea of the chosen approach.",

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T1 - Lie algebra computations

AU - Gragert, P.K.H.

PY - 1989

Y1 - 1989

N2 - In the context of prolongation theory, introduced by Wahlquist and Estabrook, computations of a lot of Jacobi identities in (infinite-dimensional) Lie algebras are necessary. These computations can be done (automatically) using ‘symbolic computations’. A package written in REDUCE is demonstrated to give an idea of the chosen approach.

AB - In the context of prolongation theory, introduced by Wahlquist and Estabrook, computations of a lot of Jacobi identities in (infinite-dimensional) Lie algebras are necessary. These computations can be done (automatically) using ‘symbolic computations’. A package written in REDUCE is demonstrated to give an idea of the chosen approach.

KW - IR-85617

U2 - 10.1007/BF00046574

DO - 10.1007/BF00046574

M3 - Article

SN - 0167-8019

VL - 16

SP - 231

EP - 242

JO - Acta applicandae mathematicae

JF - Acta applicandae mathematicae

IS - 2

ER -