Geodesic
Subalgebras and discriminants of anticommutative algebras
Izvestiya. Mathematics , Tome 63 (1999) no. 3, pp. 583-598.

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The paper deals with the configuration of subalgebras in generic $n$-dimensional $k$-argument anticommutative algebras and “regular” anticommutative algebras. 
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E. A. Tevelev. Subalgebras and discriminants of anticommutative algebras. Izvestiya. Mathematics , Tome 63 (1999) no. 3, pp. 583-598. http://geodesic.mathdoc.fr/item/IM2_1999_63_3_a6/

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