On a group of holomorphic transformations in
Alois Švec (1974)
Czechoslovak Mathematical Journal
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Displaying similar documents to “On 3-dimensional Lie algebras of vector fields”
On a group of holomorphic transformations in
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Given a Lie algebra with a chosen basis, the change of coordinates relating coordinates of the first and second kinds near the identity of the corresponding local group yields some remarkable vector fields and dual vector fields. One family of vector fields is dual to a representation of the Lie algebra acting on a Fock-type space. To this representation an abelian family of dual vector fields is associated. The exponential of these commuting operators acting on an appropriate vacuum...
Lie supergroups obtained from 3-dimensional Lie superalgebras associated to the adjoint representation and having a 2-dimensional derived ideal.
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