The First Fundamental Theorem of Coinvariant Theory for the Quantum General Linear Group
Kenneth R. Goodearl
University of California, Santa Barbara, USAThomas H. Lenagan
University of Edinburgh, United KingdomLaurent Rigal
Université Jean-Monnet, Saint-Etienne, France
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Abstract
We prove First Fundamental Theorems of Coinvariant Theory for the standard coactions of the quantum groups and on the quantized algebra . (Here is an arbitrary field and an arbitrary nonzero scalar.) In both cases, the set of co-invariants is a subalgebra of , which we identify.
Cite this article
Kenneth R. Goodearl, Thomas H. Lenagan, Laurent Rigal, The First Fundamental Theorem of Coinvariant Theory for the Quantum General Linear Group. Publ. Res. Inst. Math. Sci. 36 (2000), no. 2, pp. 269–296
DOI 10.2977/PRIMS/1195143104