"15310" . "4" . "29"^^ . "[94BB7AB5E8AC]" . . "Krupka, Demeter" . . . . "Rozklad podle stopy na prostorech tenzor\u016F"@cs . . . "Trace decompositions of tensor spaces" . "Trace decompositions of tensor spaces"@en . "Linear and Multilinear Algebra" . "GB - Spojen\u00E9 kr\u00E1lovstv\u00ED Velk\u00E9 Brit\u00E1nie a Severn\u00EDho Irska" . "54" . "The trace decomposition theory of tensor spaces, based on duality, is presented. The trace decomposition equations for tensors, symmetric in some sets of superscripts, and antisymmetric in the subscripts, are derived by means of the trace operations and appropriate symmetrizations and antisymmetrizations. Commutation relations for the corresponding linear operators are also derived. Trace decompositions of various concrete tensor spaces are discussed." . . . "504099" . . "RIV/61989592:15310/06:00002641" . "RIV/61989592:15310/06:00002641!RIV07-GA0-15310___" . . . "0308-1087" . "P(GA201/03/0512), Z(MSM6198959214)" . "1"^^ . . "Trace decompositions of tensor spaces" . "1"^^ . "Trace decompositions of tensor spaces"@en . "Rozklad podle stopy na prostorech tenzor\u016F"@cs . . . "Je p\u0159edlo\u017Eena teorie rozklad\u016F tenzorov\u00FDch prostor\u016F na b\u00E1zi duality. Pomoc\u00ED operace stopy a vhodn\u00FDch symetrizac\u00ED a antisymetrizac\u00ED jsou odvozeny rovnice pro tenzorov\u00E9 rozklady pro tenzory, symetrick\u00E9 v n\u011Bkter\u00FDch horn\u00EDch indexech a antisymetrick\u00E9 v doln\u00EDch indexech. Jsou odvozeny komuta\u010Dn\u00ED relace pro tyto operace. Jsou tak\u00E9 diskutov\u00E1ny tenzorov\u00E9 rozklady konkr\u00E9tn\u00EDch tenzorov\u00FDch prostor\u016F."@cs . . . "The trace decomposition theory of tensor spaces, based on duality, is presented. The trace decomposition equations for tensors, symmetric in some sets of superscripts, and antisymmetric in the subscripts, are derived by means of the trace operations and appropriate symmetrizations and antisymmetrizations. Commutation relations for the corresponding linear operators are also derived. Trace decompositions of various concrete tensor spaces are discussed."@en . . . "235-263" . . "Tensor; Trace; Kronecker tensor; Weyl tensor; Torsion; Curvature"@en . .