A description of derivations of the algebra of symmetric tensors
Archivum mathematicum, Tome 42 (2006) no. 2, pp. 175-184
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In this paper the symmetric differential and symmetric Lie derivative are introduced. Using these tools derivations of the algebra of symmetric tensors are classified. We also define a Frölicher-Nijenhuis bracket for vector valued symmetric tensors.
Classification :
53A55, 53C05, 58A10
Keywords: derivation; Frölicher-Nijenhius bracket; symmetric differential; symmetric Lie derivative; symmetric tensor
Keywords: derivation; Frölicher-Nijenhius bracket; symmetric differential; symmetric Lie derivative; symmetric tensor
@article{ARM_2006__42_2_a8,
author = {Heydari, A. and Boroojerdian, N. and Peyghan, E.},
title = {A description of derivations of the algebra of symmetric tensors},
journal = {Archivum mathematicum},
pages = {175--184},
publisher = {mathdoc},
volume = {42},
number = {2},
year = {2006},
mrnumber = {2240355},
zbl = {1164.53401},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_2006__42_2_a8/}
}
TY - JOUR AU - Heydari, A. AU - Boroojerdian, N. AU - Peyghan, E. TI - A description of derivations of the algebra of symmetric tensors JO - Archivum mathematicum PY - 2006 SP - 175 EP - 184 VL - 42 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ARM_2006__42_2_a8/ LA - en ID - ARM_2006__42_2_a8 ER -
Heydari, A.; Boroojerdian, N.; Peyghan, E. A description of derivations of the algebra of symmetric tensors. Archivum mathematicum, Tome 42 (2006) no. 2, pp. 175-184. http://geodesic.mathdoc.fr/item/ARM_2006__42_2_a8/