Results 91 to 100 of about 3,483,162 (228)

Ternary Associativity and Ternary Lie Algebras at Cube Roots of Unity

Axioms
We propose a new approach to extend the notion of commutator and Lie algebra to algebras with ternary multiplication laws. Our approach is based on the ternary associativity of the first and second kinds.
Viktor Abramov
doaj   +1 more source

Unitary Representations of Lattices of Free Nilpotent Lie Groups of Step-Two [PDF]

arXiv, 2013
Using a theorem proved by Bekka and Driutti, we show that if $\mathfrak{f}$ is a freely generated nilpotent Lie algebra of step-two, then almost every irreducible representation of the corresponding Lie group restricted to some lattice $\Gamma$ is an irreducible representation of $\Gamma$ if the dimension of the Lie algebra is odd.
arxiv  

Wigner distributions and quantum mechanics on Lie groups: The case of the regular representation [PDF]

, 2003
N. Mukunda, Arvind Arvind, S. Chaturvedi, Richard Simon   +3 more
openalex   +1 more source

Soft shape registration under Lie group frame

IET Computer Vision, 2013
In this study, the authors address a two‐dimensional (2D) shape registration problem on data with anisotropic‐scale deformation and noise. First, the model is formulated under the iterative closest point (ICP) framework, which is one of the most popular ...
Yaxin Peng, Wei Lin, Shihui Ying, Jigen Peng   +3 more
doaj   +1 more source

Amenability and representation theory of pro-Lie groups [PDF]

arXiv, 2016
We develop a semigroup approach to representation theory for pro-Lie groups satisfying suitable amenability conditions. As an application of our approach, we establish a one-to-one correspondence between equivalence classes of unitary irreducible representations and coadjoint orbits for a class of pro-Lie groups including all connected locally compact ...
arxiv  

Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1)

Symmetry, Integrability and Geometry: Methods and Applications, 2013
Based on the representation of a set of canonical operators on the lattice hZn, which are Clifford-vector-valued, we will introduce new families of special functions of hypercomplex variable possessing su(1,1) symmetries. The Fourier decomposition of the
Nelson Faustino
doaj   +1 more source

Classification of minimal representations of real simple Lie groups [PDF]

arXiv, 2018
Based on an idea in [Gan--Savin, Represent. Theory (2005)], we give a classification of minimal representations of connected simple real Lie groups not of type $A$. Actually, we prove that there exist no new minimal representations up to infinitesimal equivalence.
arxiv  

The Schrödinger-Virasoro Lie Group and Algebra: Representation Theory and Cohomological Study [PDF]

, 2006
Claude Roger, Jérémie Unterberger
openalex   +1 more source

Branching Laws for Some Unitary Representations of SL(4,R)

Symmetry, Integrability and Geometry: Methods and Applications, 2008
In this paper we consider the restriction of a unitary irreducible representation of type A_q(λ) of GL(4,R) to reductive subgroups H which are the fixpoint sets of an involution. We obtain a formula for the restriction to the symplectic group and to GL(2,
Birgit Speh, Bent Ørsted
doaj   +1 more source

Lie Groups, Lie Algebras and Representation Theory

, 2022
In Chapter 1, the concepts of a Lie group and a matrix Lie group are introduced, and we construct and study the group homomorphism SU(2) → SO(3). In Chapter 2 we de ne the notion of a matrix power series, and we do so in a general setting, which allows to deduce properties of which the matrix case is a particular case.
openaire   +1 more source