Abstract: | A representation of the algebra(3)=t(3) S0(3, ) by differential Schaefer's operators is proposed, and an external algebra of(3)-valued differential forms is constructed. The requirement of local gauge invariance is formulated in the model of the(3)-valued field, which enables a group of gauge transformations of the continual theory of defects to be obtained.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 190, pp. 173–184, 1991.I wish to thank V. N. Popov for his interest. |