Parthasarathy, R. Quantum analogues of a coherent family of modules at roots of one: \(\mathfrak g_2\). (English) Zbl 1194.17010 Mehta, V. B. (ed.), Algebraic groups and homogeneous spaces. Proceedings of the international colloquium, Mumbai, India, January 6–14, 2004. New Delhi: Narosa Publishing House/Published for the Tata Institute of Fundamental Research (ISBN 978-81-7319-802-1/hbk). Studies in Mathematics. Tata Institute of Fundamental Research 19, 475-480 (2007). Summary: Quantum analogues of a coherent family of modules at roots of 1 [see the author, J. Math. Soc. Japan 48, No. 1, 187–194 (1996; Zbl 0853.17013)] are described for the exceptional Lie algebra \(\mathfrak g_2\). Explicit formulae are given.For the entire collection see [Zbl 1128.14002]. MSC: 17B37 Quantum groups (quantized enveloping algebras) and related deformations Keywords:virtual module; quantum group; coherent family of modules; exceptional Lie algebra \(\mathfrak g_2\) Citations:Zbl 0853.17013 PDFBibTeX XMLCite \textit{R. Parthasarathy}, in: Algebraic groups and homogeneous spaces. Proceedings of the international colloquium, Mumbai, India, January 6--14, 2004. New Delhi: Narosa Publishing House/Published for the Tata Institute of Fundamental Research. 475--480 (2007; Zbl 1194.17010) Full Text: Link