Results 91 to 100 of about 1,824,364 (240)
Quantum "az+b" group at roots of unity: unitary representations [PDF]
arXiv, 2001 All unitary representations of the quantum ``az+b'' group are found. It turns out that this quantum group is self dual i.e. all unitary representations are 'numbered' by elements of the same group. Moreover, the formula for all unitary representations involving the quantum exponential function is proven.
arxiv
Unitary Representations of Unitary Groups [PDF]
arXiv, 2013 In this paper we review and streamline some results of Kirillov, Olshanski and Pickrell on unitary representations of the unitary group $\U(\cH)$ of a real, complex or quaternionic separable Hilbert space and the subgroup $\U_\infty(\cH)$, consisting of those unitary operators $g$ for which $g - \1$ is compact.
arxiv
The Burau representation is unitary
, 1984 A slight modification of the Burau representation of the braid group is shown to be unitary relative to an explicitly defined Hermitian form. This gives a partial answer to the problem of identifying the image of the Burau representation and provides a ...
C. Squier
semanticscholar +1 more source
On the Uniqueness of the Fock Quantization of the Dirac Field in the Closed FRW Cosmology
Advances in Mathematical Physics, 2018 The Fock quantization of free fields propagating in cosmological backgrounds is in general not unambiguously defined due to the nonstationarity of the space-time. For the case of a scalar field in cosmological scenarios, it is known that the criterion of
Jerónimo Cortez +3 more
doaj +1 more source
On Machine Learning Knowledge Representation in the Form of Partially Unitary Operator. Knowledge Generalizing Operator [PDF]
, 2022 Vladislav Gennadievich Malyshkin
openalex +1 more source
On the unitary structures of vertex operator superalgebras [PDF]
arXiv, 2015 In this paper, the notion of unitary vertex operator superalgebra is introduced. It is proved that the vertex operator superalgebras associated to the unitary highest weight representations for the Neveu-Schwarz Lie superalgebra, Heisenberg superalgebras and to positive definite integral lattices are unitary vertex operator superalgebras.
arxiv
An Integral Representation of Standard Automorphic L Functions for Unitary Groups
International Journal of Mathematics and Mathematical Sciences, 2007 Let F be a number field, G a quasi-split unitary group of rank n. We show that given an irreducible cuspidal automorphic representation π of G(A), its (partial) L function LS(s,π,σ) can be represented by a Rankin-Selberg-type integral involving cusp ...
Yujun Qin
doaj +1 more source
IEEE Access, 2013 This paper suggests a real-valued sparse representation method using a unitary transformation that can convert complex-valued manifold matrices from uniform circular array into real ones.
Iman Kazemi +2 more
doaj +1 more source
Quantifying the Unitary Generation of Coherence from Thermal Quantum Systems
Entropy, 2019 Coherence is associated with transient quantum states; in contrast, equilibrium thermal quantum systems have no coherence. We investigate the quantum control task of generating maximum coherence from an initial thermal state employing an external field ...
Shimshon Kallush +2 more
doaj +1 more source
Classification of Strongly Positive Representations of Even General Unitary Groups [PDF]
(2019) In: Aubert AM., Mishra M., Roche A., Spallone S. (eds)
Representations of Reductive p-adic Groups. Progress in Mathematics, vol 328.
Birkh\"auser, Singapore, 2019 We explicitly construct the structure of Jacquet modules of parabolically induced representations of even unitary groups and even general unitary groups over a $p$-adic field $F$ of characteristic different than two. As an application, we obtain a classification of strongly positive discrete series representations of those groups.
arxiv