Yangians and their applications

2002/11/19 by A. I. Molev · 1 citation
Mathematics · Physics and Astronomy · #math.QA #math-ph #math.MP #math.RT

paper · pdf

published as in ``Handbook of Algebra", Vol. 3, (M. Hazewinkel, Ed.), Elsevier, 2003, pp. 907-959. · 55 pages

arxiv created 2002/11/19 · arxiv updated 2009/11/30

Abstract

This is a review paper on the algebraic structure and representations of the A type Yangian and the B, C, D types twisted Yangians. Some applications to constructions of Casimir elements and characteristic identities for the corresponding Lie algebras are also discussed.

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