The coalgebra automorphism group of Hopf algebra kq[x, x-1, y]
- Autores: Hui-Xiang Chen
- Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 217, Nº 10, 2013, págs. 1870-1887
- Idioma: inglés
- DOI: 10.1016/j.jpaa.2013.01.013
- Enlaces
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Resumen
Let kq[x, x.1, y] be the localization of the quantum plane kq[x, y] over a field k, where 0 .= q ¡ô k. Then kq[x, x.1, y] is a graded Hopf algebra, which can be regarded as the nonnegative part of the quantum enveloping algebra Uq(sl2). Under the assumption that q is not a root of unity, we investigate the coalgebra automorphism group of kq[x, x.1, y]. We describe the structures of the graded coalgebra automorphism group and the coalgebra automorphism group of kq[x, x.1, y], respectively.
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