Results 191 to 200 of about 291,666 (209)

Unitary Transformation in kq Representation

Communications in Theoretical Physics, 2009
Summary: We discuss the unitary transformation induced by \(Z_{6}\) rotations of noncommutative space on the states \(|k,q,\rangle\), which plays a key role in construction for noncommutative solitons \(T^2/Z_6\) by GHS method. As a result, we prove a well-known `Gauss sum' formula in number theory through a concise way.
Yang, Zhanying, Zhang, Kai, Hou, Boyu, Shi, Kangjie   +3 more
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The unitary representation operators

International Journal of Theoretical Physics, 1975
A representation (called theU-representation) which remains unitary for all spins and for all ranges of velocities was obtained by us in a recent paper. We obtain here relevant expressions for the boosts operator and the observables in such a representation.
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Unitary Representations of the Affine Group

Journal of Mathematical Physics, 1968
The unitary representations of the affine group, or the group of linear transformations without reflections on the real line, have been found previously by Gel'fand and Naimark. The present paper gives an alternate proof, and presents several properties of the representations which will be used in a later application of this group to continuous ...
Aslaksen, Erik W., Klauder, John R.
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Results about unitary representations

2018
In this chapter, we consider unitary representations of groups which are locally compact but not compact. We do not intend to go very far in this deep subject, but we want to give three examples in order to show how the structure of the dual of the group changes.
Caroline Gruson, Vera Serganova
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Unitary braid group representations

Journal of Mathematical Physics, 1995
A large class of braid group representations are proven unitary which means a Hermitian bilinear form left invariant by the representation under consideration exists. This generalizes and improves known results on the Burau and Gassner representations.
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On pseudo-unitary representations

Czechoslovak Journal of Physics, 1987
The structure of representations of a group on a finite dimensional complex vector space with a non-degenerate invariant (indefinite) inner product is analysed in terms of layers of Gupta-Bleuler triplets.
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Unitary Representations

2020
Alessandro Figà-Talamanca, Massimo A. Picardello   +1 more
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Unitary Representations of Supergroups

1986
To find the obstructions to integrability of representations of superalgebras, we have studied the problem of deciding on a fruitful definition of supergroup. The most natural definition turns out to be a semidirect product, G = X·Go, where Go is a Lie group and the invariant subsupergroup is in a certain sense nilpotent.
C. Fronsdal, T. Hirai
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UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS

Russian Mathematical Surveys, 1962
CONTENTSIntroduction § 1. Induced representations § 2. Representations of Lie algebras and infinitesimal group rings § 3. A special nilpotent group N § 4. Nilpotent Lie groups with one-dimensional centre § 5. Description of the representations of nilpotent Lie groups § 6. Orbits and representations § 7. Representations of the group ring § 8.
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Unitary Representations of Generalized Symmetric Groups

Canadian Journal of Mathematics, 1969
In this paper all representations are over the complex field K. The generalized symmetric group S(n, m) of order n!mn is isomorphic to the semi-direct product of the group of n × n diagonal matrices whose rath powers are the unit matrix by the group of all n × n permutation matrices over K.
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