Abstract
For a field , the ring of invariants of an action of the unipotent -group on an affine -variety is quasiaffine, but not generally affine. Cable algebras are introduced as a framework for studying these invariant rings. It is shown that the ring of invariants for the -action on constructed by Daigle and Freudenburg is a monogenetic cable algebra. A generating cable is constructed for this ring, and a complete set of relations is given as a prime ideal in the infinite polynomial ring over . In addition, it is shown that the ring of invariants for the well-known -action on due to Roberts is a cable algebra.
Citation
Gene Freudenburg. Shigeru Kuroda. "Cable algebras and rings of -invariants." Kyoto J. Math. 57 (2) 325 - 363, June 2017. https://doi.org/10.1215/21562261-3821828
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