Results 71 to 80 of about 377,813 (234)
The cohomology and K-theory of the projective unitary groups PU(n)
The projective unitary group PU(n) is the group of holomorphic isometries on the complex projective space of dimension n-1. It is essential to the pure Yang-Mills gauge theory, and to the twisted K-theory.
Duan, Haibao
core
Unitary Groups: Representations and Decompositions [PDF]
An elementary account is given of the representation theory for unitary groups. We review the basic definitions and the construction of irreducible representations using tensor methods, and indicate the connection to the infinitesimal approach. Special attention has been given to the detailed procedure to obtain Clebsch-Gordan series and to the problem
Itzykson, C., Nauenberg, M.
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Generalizations of the standard Artin representation are unitary
We consider the Magnus representation of the image of the braid group under the generalizations of the standard Artin representation discovered by M. Wada.
Mohammad N. Abdulrahim
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Unitary Groups and Differential Operators [PDF]
Unitary groups generated by differential operators have special properties that can be used to study completeness of the set of eigenvectors of the infinitesimal generator. Unitary groups also occur in differential operator theory in another manner, associated with unitary equivalence of differential operators. We discuss what happens to
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On the Douglas-Kazakov phase transition
We give a rigorous proof of the fact that a phase transition discovered by Douglas and Kazakov in 1993 in the context of two-dimensional gauge theories occurs. This phase transition can be formulated in terms of the Brownian bridge on
Lévy Thierry, Maïda Mylène
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Unitary Bordism of Abelian Groups [PDF]
It is shown that for a finite abelian group G the bordism group of unitary G-manifolds is a free U ∗ {U_\ast } -module on even dimensional generators.
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On Some Sampling-Related Frames in U-Invariant Spaces
This paper is concerned with the characterization as frames of some sequences in U-invariant spaces of a separable Hilbert space ℋ where U denotes an unitary operator defined on ℋ; besides, the dual frames having the same form are also found.
H. R. Fernández-Morales +3 more
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Borcherds products on unitary groups [PDF]
Minor edit: Fixed a typo in proposition 2 ...
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Resolution of Electronic States in Heisenberg Cluster Models within the Unitary Group Approach. [PDF]
Li Manni G, Kats D, Liebermann N.
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Unitary measures on LCA groups [PDF]
A unitary measure on a locally compact Abelian (LCA) group G is a complex measure whose Fourier transform is of absolute value 1 everywhere. The problem of finding all such measures is known to be closely related to that of finding all invertible measures on G. In this paper, we find all unitary measures when G is the circle or a discrete group.
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