Yangians: Their representations and characters

✍ Scribed by Vyjayanthi Chari; Andrew Pressley

• Publisher: Springer Netherlands
• Year: 1996
• Tongue: English
• Weight: 856 KB
• Volume: 44
• Category: Article
• ISSN: 0167-8019
• DOI: 10.1007/bf00116515

✦ Synopsis

The finite-dimensional irreducible representations of the Yangian of ~[2 are parametrized by their highest weights, which are monic polynomials in one variable. In this paper, we give a formula for the character of such a representation which depends only on its highest weight, and is an analogue of the classical Weyl character formula.