CLASSIFICATION OF ORBIT CLOSURES IN THE VARIETY OF THREE-DIMENSIONAL NOVIKOV ALGEBRAS
Thomas BenešFakultät für Mathematik, Universität Wien, Nordbergstr, 15, 1090 Wien, AustriaDietrich BurdeFakultät für Mathematik, Universität Wien, Nordbergstr, 15, 1090 Wien, Austria
2013en
ABI
Abstract
We classify the orbit closures in the variety [Formula: see text] of complex, three-dimensional Novikov algebras and obtain the Hasse diagrams for the closure ordering of the orbits. We provide invariants which are easy to compute and which enable us to decide whether or not one Novikov algebra degenerates to another Novikov algebra.
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Cited by 60 references