منابع مشابه
Generalized Lagrange-Weyl structures and compatible connections
Generalized Lagrange-Weyl structures and compatible connections are introduced as a natural generalization of similar notions from Riemannian geometry. Exactly as in Riemannian case, the compatible connection is unique if certain symmetry conditions with respect to vertical and horizontal Christoffel symbols are imposed. 2000 Math. Subject Classification: 53C60.
متن کاملDimensional Reduction of Conformal Tensors and Einstein–Weyl Spaces⋆
Conformal Weyl and Cotton tensors are dimensionally reduced by a Kaluza– Klein procedure. Explicit formulas are given for reducing from four and three dimensions to three and two dimensions, respectively. When the higher dimensional conformal tensor vanishes because the space is conformallly flat, the lower-dimensional Kaluza–Klein functions satisfy equations that coincide with the Einstein–Wey...
متن کاملDual Partially Harmonic Tensors and Brauer–schur–weyl Duality
We study the Brauer–Schur–Weyl duality between the quotient Bn(−2m)/B (f) n of the Brauer algebra Bn(−2m) and the symplectic group Sp(V ) on the space HT ⊗f n of partially harmonic tensors of valence f in V , where B (f) n is the two-sided ideal generated by e1e3 · · · e2f−1 and 1 ≤ f ≤ [n/2]. We prove that the dimensions of HT ⊗f n and the endomorphism algebra EndKSp(V ) “
متن کاملThe Determination of the Metric by the Weyl and Energy - Momentum Tensors
This brief paper investigates the consequences for the metric tensor of space-time when the Weyl tensor (in its conformally invariant form) and the energy-momentum tensor is specified. It is shown that, unless rather special conditions hold, the metric is uniquely determined up to a constant conformal factor.
متن کاملThe Envelope of Symmetry on Tensors and Characteristic Free Schur-weyl Duality
The envelope of the action of the symmetric group Sr on rank r tensors has dimension independent of the characteristic of the base field. M. Härterich proved this, using G.E. Murphy’s combinatorial basis of the Hecke algebra of Sr in order to describe an explicit basis for the the annihilator of tensor space. This leads to a proof of Schur-Weyl duality in positive characteristic, assuming the c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Geometric Methods in Modern Physics
سال: 2014
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887814500704