Journal
INTERNATIONAL JOURNAL OF MATHEMATICS
Volume 29, Issue 5, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0129167X18500350
Keywords
Leibniz algebra; Grunewald-O'Halloran conjecture; Vergne conjecture; orbit closure; degeneration; rigid algebra
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Funding
- RFBR [17-01-00258]
- President's Program Support of Young Russian Scientists Grant [MK-1378.2017.1]
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We describe all rigid algebras and all irreducible components in the variety of fourdimensional Leibniz algebras Leib(4) over C. In particular, we prove that the Grunewald-O'Halloran conjecture is not valid and the Vergne conjecture is valid for Leib(4).
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