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The q-Characters at Roots of Unity

✍ Scribed by Edward Frenkel; Evgeny Mukhin


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
293 KB
Volume
171
Category
Article
ISSN
0001-8708

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✦ Synopsis


We consider various specializations of the untwisted quantum affine algebras at roots of unity. We define and study the q-characters of their finite-dimensional representations.


πŸ“œ SIMILAR VOLUMES


q-Ultraspherical polynomials forqa root
✍ Vyacheslav Spiridonov; Alexei Zhedanov πŸ“‚ Article πŸ“… 1996 πŸ› Springer 🌐 English βš– 361 KB

Properties of the q-ultraspherical polynomials for q being a primitive root of unity, are derived using a formalism of the soq(3) algebra. The orthogonality condition for these polynomials provides a new class of trigonometric identities representing discrete finite-dimensional analogues of q-beta i