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Statements

Subject Item
n2:RIV%2F61989592%3A15310%2F06%3A00002641%21RIV07-GA0-15310___
rdf:type
n14:Vysledek skos:Concept
dcterms:description
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. Je předložena teorie rozkladů tenzorových prostorů na bázi duality. Pomocí operace stopy a vhodných symetrizací a antisymetrizací jsou odvozeny rovnice pro tenzorové rozklady pro tenzory, symetrické v některých horních indexech a antisymetrické v dolních indexech. Jsou odvozeny komutační relace pro tyto operace. Jsou také diskutovány tenzorové rozklady konkrétních tenzorových prostorů. 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.
dcterms:title
Trace decompositions of tensor spaces Trace decompositions of tensor spaces Rozklad podle stopy na prostorech tenzorů
skos:prefLabel
Rozklad podle stopy na prostorech tenzorů Trace decompositions of tensor spaces Trace decompositions of tensor spaces
skos:notation
RIV/61989592:15310/06:00002641!RIV07-GA0-15310___
n4:strany
235-263
n4:aktivita
n12:P n12:Z
n4:aktivity
P(GA201/03/0512), Z(MSM6198959214)
n4:cisloPeriodika
4
n4:dodaniDat
n15:2007
n4:domaciTvurceVysledku
n16:6915647
n4:druhVysledku
n10:J
n4:duvernostUdaju
n17:S
n4:entitaPredkladatele
n19:predkladatel
n4:idSjednocenehoVysledku
504099
n4:idVysledku
RIV/61989592:15310/06:00002641
n4:jazykVysledku
n7:eng
n4:klicovaSlova
Tensor; Trace; Kronecker tensor; Weyl tensor; Torsion; Curvature
n4:klicoveSlovo
n6:Weyl%20tensor n6:Torsion n6:Trace n6:Curvature n6:Kronecker%20tensor n6:Tensor
n4:kodStatuVydavatele
GB - Spojené království Velké Británie a Severního Irska
n4:kontrolniKodProRIV
[94BB7AB5E8AC]
n4:nazevZdroje
Linear and Multilinear Algebra
n4:obor
n18:BA
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
1
n4:projekt
n13:GA201%2F03%2F0512
n4:rokUplatneniVysledku
n15:2006
n4:svazekPeriodika
54
n4:tvurceVysledku
Krupka, Demeter
n4:zamer
n8:MSM6198959214
s:issn
0308-1087
s:numberOfPages
29
n3:organizacniJednotka
15310