منابع مشابه
Vector Fields on Quantum Groups
We construct the space of vector fields on a generic quantum group. Its elements are products of elements of the quantum group itself with left invariant vector fields. We study the duality between vector fields and 1-forms and generalize the construction to tensor fields. A Lie derivative along any (also non left invariant) vector field is proposed and a puzzling ambiguity in its definition di...
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If C is a cocommutative coalgebra, a bialgebra structure can be given to the symmetric algebra S(C). The symmetric product is twisted by a Laplace pairing and the twisted product of any number of elements of S(C) is calculated explicitly. This is used to recover important identities in the quantum field theory of interacting scalar bosons.
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In this paper, we prove that a non-Riemannian isotropic Berwald metric or a non-Riemannian (α,β) -metric admits no concurrent vector fields. We also prove that an L-reducible Finsler metric admitting a concurrent vector field reduces to a Landsberg metric.In this paper, we prove that a non-Riemannian isotropic Berwald metric or a non-Riemannian (α,β) -metric admits no concurrent vector fi...
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(1.3) Lku = 0, k = 1,. . . , m. Any function u satisfying all the above equations must also satisfy the equations (1.4) [Lk9 Lh]u = LkLhu LhLku = 0. Thus it is reasonable to assume that the space spanned by the vector fields Lu..., Lm is closed under the bracket operation. Condition A. This condition is satisfied if (1.5) [Lk,IJ = I 4 ^ j where the a^6C°°((7). From (1.2) we obtain [Lk,Lh]u = Lk...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1992
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02097246