New PDF release: Representation of Lie Groups and Special Functions: Recent

By N.Ja. Vilenkin,A.U. Klimyk

In 1991-1993 our three-volume publication "Representation of Lie teams and Spe­ cial features" was once released. after we began to write that booklet (in 1983), editors of "Kluwer educational Publishers" expressed their want for the booklet to be of encyclopaedic style at the topic. Interrelations among representations of Lie teams and distinctive features are very huge. This width might be defined through lifestyles of other forms of Lie teams and through richness of the idea in their rep­ resentations. it's because the e-book, pointed out above, unfold to 3 immense volumes. impact of representations of Lie teams and Lie algebras upon the idea of designated capabilities is lasting. This idea is constructing extra and strategies of the illustration thought are of serious value during this improvement. while the ebook "Representation of Lie teams and designated capabilities" ,vol. 1-3, used to be less than instruction, new instructions of the idea of certain capabilities, attached with workforce representations, seemed. New vital effects have been came across within the conventional instructions. This impelled us to put in writing a continuation of our three-volume booklet on dating among representations and designated capabilities. the results of our additional paintings is the current publication. The three-volume publication, released earlier than, used to be committed in most cases to learning classical distinct capabilities and orthogonal polynomials via matrix parts, Clebsch-Gordan and Racah coefficients of staff representations and to generaliza­ tions of classical targeted features that have been dictated via matrix components of repre­ sentations.

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Representation of Lie Groups and Special Functions: Recent Advances (Mathematics and Its Applications) by N.Ja. Vilenkin,A.U. Klimyk

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