The Generalized CCR: Representations and Enveloping C*-Algebra

2003 ◽  
Vol 15 (04) ◽  
pp. 313-338 ◽  
Author(s):  
Che Soong Kim ◽  
Daniil P. Proskurin ◽  
Aleksander M. Iksanov ◽  
Zakhar A. Kabluchko
Keyword(s):  
Representation Theory ◽  
Fock Representation ◽  
C Algebra ◽  
Ccr Algebra ◽  
General Deformation

The review of the representation theory of deformations of the CCR is presented. The faithfulness of the Fock representation of q-CCR, twisted CCR and quon CCR is discussed. The more general deformation of CCR is presented. The K0 and K1 groups of the twisted CCR algebra are calculated.

scholarly journals FOCK REPRESENTATIONS AND QUANTUM MATRICES

2004 ◽  
Vol 15 (09) ◽  
pp. 855-894 ◽  
Author(s):  
D. SHKLYAROV ◽  
S. SINEL'SHCHIKOV ◽  
L. VAKSMAN
Keyword(s):  
Hilbert Space ◽  
Group Theory ◽  
Irreducible Representation ◽  
Quantum Group ◽  
Unitary Equivalence ◽  
Bounded Operators ◽  
Fock Representation ◽  
Quantum Matrices ◽  
Ccr Algebra ◽  
Fock Representations

In this paper we study the Fock representation of a certain *-algebra which appears naturally in the framework of quantum group theory. It is also a generalization of the twisted CCR-algebra introduced by Pusz and Woronowicz. We prove that the Fock representation is a faithful irreducible representation of the algebra by bounded operators in a Hilbert space, and, moreover, it is the only (up to unitary equivalence) representation possessing these properties.

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

2009 ◽  
Author(s):  
Tullio Ceccherini-Silberstein ◽  
Fabio Scarabotti ◽  
Filippo Tolli
Keyword(s):  
Representation Theory ◽  
Harmonic Analysis ◽  
Finite Groups ◽  
Wreath Products

On the Positivity of $\mathbf{{a}}$-Linear with Random Finitely

2020 ◽  
Author(s):  
Amanda Bolton
Keyword(s):  
Representation Theory ◽  
Central Problem ◽  
Numerical Representation

Let $\rho$ be an ultra-unique, reducible topos equipped with a minimal homeomorphism. We wish to extend the results of \cite{cite:0} to trivially Cartan classes. We show that $d$ is comparable to $\mathcal{{M}}$. This leaves open the question of uniqueness. Moreover, a central problem in numerical representation theory is the description of irreducible, orthogonal, hyper-unique graphs.

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