Results 31 to 40 of about 377,813 (234)

On Parametrization of the Linear GL(4,C) and Unitary SU(4) Groups in Terms of Dirac Matrices

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
Parametrization of 4 × 4-matrices G of the complex linear group GL(4,C) in terms of four complex 4-vector parameters (k,m,n,l) is investigated. Additional restrictions separating some subgroups of GL(4,C) are given explicitly.
Natalia G. Tokarevskaya   +2 more
doaj   +1 more source

Full pseudoscalar mesonic chiral Lagrangian at p6 order under the unitary group

open access: yes, 2014
We construct the full p6 order chiral Lagrangians for the unitary group and special unitary groups, including nf-, three- and two-flavor cases, all bilinear currents (scalar, pseudoscalar, vector, axial-vector and tensor currents) and theta parameter ...
Ge, Feng-Jun   +2 more
core   +1 more source

Emergent behaviours of a non-abelian quantum synchronisation model over the unitary group

open access: yesEuropean Journal of Applied Mathematics
We introduce a new non-abelian quantum synchronisation model over the unitary group, represented as a gradient flow, where state matrices asymptotically converge to a common one up to phase translation.
Dohyun Kim, Jeongho Kim
doaj   +1 more source

Hardy-Type Space Associated with an Infinite-Dimensional Unitary Matrix Group

open access: yesAbstract and Applied Analysis, 2013
We investigate an orthogonal system of the homogenous Hilbert-Schmidt polynomials with respect to a probability measure which is invariant under the right action of an infinite-dimensional unitary matrix group.
Oleh Lopushansky
doaj   +1 more source

Orthogonal bases in specific generalized symmetry classes of tensors [PDF]

open access: yesJournal of Mahani Mathematical Research
Let $V$ 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

A new twist on dS/CFT

open access: yes, 2003
We stress that the dS/CFT correspondence should be formulated using unitary principal series representations of the de Sitter isometry group/conformal group, rather than highest-weight representations as originally proposed.
A. Jevicki   +39 more
core   +1 more source

A characterization of projective special unitary group U3(5) by nse

open access: yesArab Journal of Mathematical Sciences, 2014
Let G be a group and ω(G) be the set of element orders of G. Let k ∈ ω(G) and sk be the number of elements of order k in G. Let nse(G) = {sk∣k ∈ ω(G)}. In Khatami et al. and Liu’s works L3(2) and L3(4) are unique determined by nse(G).
Shitian Liu
doaj   +1 more source

2-weights for unitary groups [PDF]

open access: yesTransactions of the American Mathematical Society, 1993
This paper gives a description of the local structures of 2 2 -radical subgroups in a finite unitary group and proves Alperin’s weight conjecture for finite unitary groups when the characteristic of modular representation is even.
openaire   +1 more source

Composite parameterization and Haar measure for all unitary and special unitary groups

open access: yes, 2011
We adopt the concept of the composite parameterization of the unitary group U(d) to the special unitary group SU(d). Furthermore, we also consider the Haar measure in terms of the introduced parameters.
Hiesmayr, Beatrix C.   +2 more
core   +1 more source

Equivariant Holomorphic Hermitian Vector Bundles over a Projective Space

open access: yesMathematics
The aim here is to describe all isomorphism classes of SU(n+1)-equivariant Hermitian holomorphic vector bundles on the complex projective space CPn. If G⊂SU(n+1) is the isotropy subgroup of a chosen point x0∈CPn, and ρ:G⟶GL(V) is a unitary representation,
Indranil Biswas, Francois-Xavier Machu
doaj   +1 more source

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