Mickelsson algebras and representations of Yangians

Abstract

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.

77 pages; Introduction structured; Subsection 4.7 added

References in corpus (1)

• Representations of twisted Yangians associated with skew Young diagrams

Cited by in corpus (3)

• A generalized Harish-Chandra isomorphism
• Irreducible representations of Yangians
• Rational representations of the Yangian Y(gl_n)