V. Abramov

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19962005

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hep-th1996

$Z_{3}$ -graded analogues of Clifford algebras and generalization of supersymmetry

V. Abramov

We define and study the ternary analogues of Clifford algebras. It is proved that the ternary Clifford algebra with $N$ generators is isomorphic to the subalgebra of the elements o…

hep-th1996

Ternary generalizations of Grassmann algebra

Viktor Abramov

We propose the ternary generalization of the classical anti-commutativity and study the algebras whose generators are ternary anti-commutative. The integral over an algebra with an…

Z3​-graded analogues of Clifford algebras and generalization of supersymmetry

Ternary generalizations of Grassmann algebra

$Z_{3}$ -graded analogues of Clifford algebras and generalization of supersymmetry