NSC Kharkiv Institute of Physics and Technology,

1 Akademicheskaya Str.,

61108 Kharkiv,

UKRAINE

E-mail: vsoroka@kipt.kharkov.ua

**Poincare algebra extension with tensor generator**

**Abstract:**

A tensor extension of the Poincare algebra is proposed for the arbitrary
dimensions. Casimir operators of the extension are constructed. It is indicated
that an irreducible representation of the extended algebra has to contain
the fields of the different masses. A possible supersymmetric generalization
of this extension is also found in the dimensions D = 2,3,4.