The positive even subalgebra of \(U_q(\mathfrak{sl}_2)\) and its finite-dimensional irreducible modules

The equitable presentation of \(U_q(\mathfrak{sl}_2)\) was introduced in 2006 by Ito, Terwilliger, and Weng. This presentation involves some generators \(x, y, y^{-1}, z\). It is known that \(\{x^r y^s z^t : r, t \in \mathbb{N}, s \in \mathbb{Z}\}\) is a basis for the \(\mathbb{K}\)-vector space \(U...

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Veröffentlicht in:	arXiv.org 2015-06
1. Verfasser:	Alison Gordon Lynch
Format:	Artikel
Sprache:	eng
Schlagworte:	Generators Isomorphism Modules
Online-Zugang:	Volltext
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