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Using the second Drinfeld formulation of the quantized universal enveloping algebra U q ( sl c 2 ) we introduce a family of its Heisenberg-type elements which are endowed with
The classification of simple finite Jordan superalgebras based on the structure theory of finite conformal Lie superalgebras [ 6 ] includes one series and two exceptional algebras [ 9
The aim of this section is to give a brief review of certain results from rational structures and uniform subgroups of connected and simply connected nilpotent Lie groups which will
Definition 13.1.. An analytical construction of the corresponding generalized Fock space, within an extension of Hida theory of white noise calculus to the negative binomial
In Section 3 I define the Lie algebroid structure on the adjoint tractor bundle, and in Section 4 I specify the two linear connections, the tractor connection of ˇ Cap and Gover
In this section, we summarize facts concerning rational structures and uniform subgroups in a connected, simply connected nilpotent Lie groups. The homogeneous space G/ Γ is called
In this section we collect some well-known facts on linear Poisson structures and Lie algebroids in order to fix our notation. For details see e.g.. This also motivates the notion
Key words: Lie algebra; Ado theorem; integration; Lie group; infinite dimensional matrix; representation.. 2000 Mathematics Subject Classification: 15A09; 15A29; 17A99; 17B66;
