Results 41 to 50 of about 1,660,234 (361)
Extension problems and non-abelian duality for $C^*$-algebras [PDF]
, 2006 Suppose that $H$ is a closed subgroup of a locally compact group $G$. We show that a unitary representation $U$ of $H$ is the restriction of a unitary representation of $G$ if and only if a dual representation $\hat U$ of a crossed product $C^*(G)\rtimes
Huef, Astrid an +2 more
core +4 more sources
Analysis on the minimal representation of O(p,q) -- II. Branching laws [PDF]
, 2001 This is a second paper in a series devoted to the minimal unitary representation of O(p,q). By explicit methods from conformal geometry of pseudo-Riemannian manifolds, we find the branching law corresponding to restricting the minimal unitary ...
Bent Ørsted +11 more
core +3 more sources
Unitary Representations of Unitary Groups [PDF]
, 2014 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.
openaire +3 more sources
A Stone-Weierstrass theorem for group representations
International Journal of Mathematics and Mathematical Sciences, 1978 It is well known that if G is a compact group and π a faithful (unitary) representation, then each irreducible representation of G occurs in the tensor product of some number of copies of π and its contragredient. We generalize this result to a separable
Joe Repka
doaj +1 more source
Orthogonal bases in specific generalized symmetry classes of tensors [PDF]
Journal of Mahani Mathematical ResearchLet $V$ be a unitary vector space. Suppose $G$ is a permutation group of degree $m$ and $\Lambda$ is an irreducible unitary representation of $G$. We denote by $V_{\Lambda}(G)$ the generalized symmetry class of tensors associated with $G$ and $\Lambda ...
Gholamreza Rafatneshan, Yousef Zamani
doaj +1 more source
Unitary quantization of a scalar charged field and Schwinger effect
Journal of High Energy Physics, 2020 Quantum field theory in curved spacetimes suffers in general from an infinite ambiguity in the choice of Fock representation and associated vacuum. In cosmological backgrounds, the requirement of a unitary implementation of the field dynamics in the ...
Luis J. Garay +2 more
doaj +1 more source
Designing locally maximally entangled quantum states with arbitrary local symmetries [PDF]
Quantum, 2021 One of the key ingredients of many LOCC protocols in quantum information is a multiparticle (locally) maximally entangled quantum state, aka a critical state, that possesses local symmetries.
Oskar Słowik +2 more
doaj +1 more source
On MMSE and MAP Denoising Under Sparse Representation Modeling Over a Unitary Dictionary [PDF]
IEEE Transactions on Signal Processing, 2010 Among the many ways to model signals, a recent approach that draws considerable attention is sparse representation modeling. In this model, the signal is assumed to be generated as a random linear combination of a few atoms from a prespecified dictionary.
Javier Turek, I. Yavneh, Michael Elad
semanticscholar +1 more source
Identity excluding groups [PDF]
, 2002 We consider the class of groups called identity excluding which has the property that any non-trivial irreducible unitary representation restricted to a dense subgroup does not weakly contain the trivial representation. For adapted and strictly aperiodic
Raja, C. R. E.
core +3 more sources
Current superalgebras and unitary representations [PDF]
Journal of Pure and Applied Algebra, 2018 In this paper we determine the projective unitary representations of finite dimensional Lie supergroups whose underlying Lie superalgebra is $\frak{g} = A \otimes \frak{k}$, where $\frak{k}$ is a compact simple Lie superalgebra and $A$ is a supercommutative associative (super)algebra; the crucial case is when $A = _s(\mathbb{R})$ is a Gra mann ...
Malihe Yousofzadeh, Karl-Hermann Neeb
openaire +3 more sources