Mickelsson algebras and representations of Yangians

Details Mickelsson algebras and representations of Yangians Mickelsson algebras and representations of Yangians

2009-12-06

arxiv.org/abs/0912.1101v4

Mathematics

Representation Theory

77 pages; Introduction structured; Subsection 4.7 added

Scientific paper

We use the theory of reductive dual pairs due to Howe to obtain explicit
realizations of irreducible representations of the Yangian of the general
linear Lie algebra, and of the twisted Yangians corresponding to the symplectic
and orthogonal Lie algebras.

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