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- Title
On Finite-Dimensional Simple Novikov Algebras of Characteristic.
- Authors
Zhelyabin, V. N.; Zakharov, A. S.
- Abstract
Let be a nonassociative finite-dimensional simple Novikov algebra over an algebraically closed field of characteristic . Then the right multiplication algebra is a differential simple algebra with respect to some derivation . The algebra is isomorphic to a Novikov algebra for some operator of right multiplication by and multiplication is given by . Moreover, the algebra is a truncated polynomial algebra.
- Subjects
ALGEBRA; DIFFERENTIAL algebra; OPERATOR algebras; NONASSOCIATIVE algebras; LIE algebras; POLYNOMIALS
- Publication
Siberian Mathematical Journal, 2024, Vol 65, Issue 3, p680
- ISSN
0037-4466
- Publication type
Article
- DOI
10.1134/S0037446624030169