Description

Book Synopsis
The Yangians and twisted Yangians are remarkable associative algebras taking their origins from the work of St Petersburg's school of mathematical physics in the 1980s. The book gives an introduction to the theory of Yangians and twisted Yangians, with a particular emphasis on the relationship with the classical matrix Lie algebras.

Table of Contents
Yangian for $\mathfrak{g1}_N$ Twisted Yangians Irreducible representations of Y ($\mathfrak{g1}_N$) Irreducible representations of Y($\mathfrak{g}_N$) Gelfand-Tsetlin bases for representations of Y($\mathfrak{g1}_N$) Tensor products of evaluation modules for Y($\mathfrak{g1}_N$) Casimir elements and Capelli identities Centralizer construction Weight bases for representations of $\mathfrak{g}_N$ Bibliography Index.

Yangians and Classical Lie Algebras

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    A Hardback by American Mathem American Mathem

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      Book details

      Publisher American Mathematical Society
      Published 10/30/2007 12:00:00 AM
      ISBN-13 9780821843741
      978-0821843741
      ISBN-10 0821843745
      Also in:
      Quantum physics

      Description

      Book Synopsis
      The Yangians and twisted Yangians are remarkable associative algebras taking their origins from the work of St Petersburg's school of mathematical physics in the 1980s. The book gives an introduction to the theory of Yangians and twisted Yangians, with a particular emphasis on the relationship with the classical matrix Lie algebras.

      Table of Contents
      Yangian for $\mathfrak{g1}_N$ Twisted Yangians Irreducible representations of Y ($\mathfrak{g1}_N$) Irreducible representations of Y($\mathfrak{g}_N$) Gelfand-Tsetlin bases for representations of Y($\mathfrak{g1}_N$) Tensor products of evaluation modules for Y($\mathfrak{g1}_N$) Casimir elements and Capelli identities Centralizer construction Weight bases for representations of $\mathfrak{g}_N$ Bibliography Index.

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