Visual, haptic and bimodal scene perception: evidence for a unitary representation. [PDF]
Cognition, 2015 Intraub H, Morelli F, Gagnier KM.
europepmc +4 more sources
On the finite dimensionality of every irreducible unitary representation of a compact group [PDF]
, 1961 We shall prove that every irreducible unitary representation of a compact group is finite dimensional. Our argument is a variation of known proofs and it hardly could be based on an idea different from those already current.
L. Nachbin
semanticscholar +3 more sources
Unitary and Euclidean representations of a quiver [PDF]
Linear Algebra Appl. 278 (1998) 37-62, 2007 A unitary (Euclidean) representation of a quiver is given by assigning to each vertex a unitary (Euclidean) vector space and to each arrow a linear mapping of the corresponding vector spaces. We recall an algorithm for reducing the matrices of a unitary representation to canonical form, give a certain description of the representations in canonical ...
Sergeichuk, Vladimir V.
arxiv +5 more sources
Minimal unitary representation of SU(2,2) and its deformations as massless conformal fields and their supersymmetric extensions [PDF]
, 2009 We study the minimal unitary representation (minrep) of SO(4,2) over a Hilbert space of functions of three variables, obtained by quantizing its quasiconformal action on a five dimensional space.
S. Fernando, M. Gunaydin
semanticscholar +3 more sources
Null infinity and unitary representation of the Poincare group [PDF]
Journal of High Energy Physics, 2019 Following Pasterski-Shao-Strominger we construct a new basis of states in the single-particle Hilbert space of massless particles as a linear combination of standard Wigner states.
Shamik Banerjee
doaj +3 more sources
The Minimal Unitary Representation of E_8(8) [PDF]
, 2001 We give a new construction of the minimal unitary representation of the exceptional group E8(8) on a Hilbert space of complex functions in 29 variables. Due to their manifest covariance with respect to the E7(7) subgroup of E8(8) our formulas are simpler
M. Günaydin, K. Koepsell, H. Nicolai
semanticscholar +5 more sources
Integral formula of the unitary inversion operator for the minimal representation of O(p,q) [PDF]
, 2007 The indefinite orthogonal group G = O(p,q) has a distinguished infinite dimen- sional unitary representation …, called the minimal representation for p+q even and greater than 6.
Toshiyuki Kobayashi, Gen Mano
semanticscholar +2 more sources
Representation Class and Geometrical Invariants of Quantum States under Local Unitary Transformations [PDF]
, 2007 We investigate the equivalence of bipartite quantum mixed states under local unitary transformations by introducing representation classes from a geometrical approach.
Chen K. +6 more
core +2 more sources
Modeling Quantum Behavior in the Framework of Permutation Groups
EPJ Web of Conferences, 2018 Quantum-mechanical concepts can be formulated in constructive finite terms without loss of their empirical content if we replace a general unitary group by a unitary representation of a finite group.
Kornyak Vladimir
doaj +3 more sources
Unitary (semi)causal quantum-circuit representation of black hole evaporation [PDF]
European Physical Journal C: Particles and FieldsA general structure of unitary evolution (evaporation) of the black hole, respecting causality imposed by the event horizon (semicausality), has been derived and presented in the language of quantum circuits.
Bogusław Broda
doaj +2 more sources