منابع مشابه
Singular Dual Pairs
We generalize the notions of dual pair and polarity introduced by S. Lie [Lie90] and A. Wein-stein [W83] in order to accommodate very relevant situations where the application of these ideas is desirable. The new notion of polarity is designed to deal with the loss of smoothness caused by the presence of singularities that are encountered in many problems. We study in detail the relation betwee...
متن کامل. SG ] 2 1 Fe b 20 02 Singular dual pairs
We generalize the notions of dual pair and polarity introduced by S. Lie [Lie90] and A. Wein-stein [W83] in order to accommodate very relevant situations where the application of these ideas is desirable. The new notion of polarity is designed to deal with the loss of smoothness caused by the presence of singularities that are encountered in many problems in Poisson and symplectic geometry. We ...
متن کاملOn the Dual Pairs
We describe the Howe quotient and theta lift for one-dimensional representations of the dual pairs (4)), by explicitly constructing the Howe quotients (of the representations in correspondence) using the Fock model.
متن کاملDual Pairs in Quantum
[UW] T. Umeda and M. Wakayama, Another look at the dierential operators on quantum matrix spaces and its applications, in preparation.
متن کاملDensity of Singular Pairs of Integers
A positive integer n is called cyclic if there is a unique group of order n, which is necessarily cyclic. Using a characterisation of the cyclic integers as those n satisfying gcd(n, φ(n)) = 1, P. Erdős (1947) proved that the number of cyclic integers n ≤ x is asymptotic to z(x) = e−γ x log log log x , as x→∞, where γ is Euler’s constant. An ordered pair of integers (m,n) is called singular if ...
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ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2003
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(03)00015-9