The First Fundamental Theorem of Coinvariant Theory for the Quantum General Linear Group
Thomas H. Lenagan
University of Edinburgh, United KingdomKenneth R. Goodearl
University of California, Santa Barbara, USALaurent Rigal
Université Jean-Monnet, Saint-Etienne, France

Abstract
We prove First Fundamental Theorems of Coinvariant Theory for the standard coactions of the quantum groups Oq(GLt(K)) and Oq(SLt(K)) on the quantized algebra Oq(Mm,t(K)) ⊗ Oq(Mt, n(K)). (Here K is an arbitrary field and q an arbitrary nonzero scalar.) In both cases, the set of co-invariants is a subalgebra of Oq(Mm,t(K)) ⊗ Oq(Mt, n(K)), which we identify.
Cite this article
Thomas H. Lenagan, Kenneth R. Goodearl, 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