Results 41 to 50 of about 1,803,467 (337)

The Plancherel Formula for Spherical Functions with a One-Dimensional K-Type on a Simply Connected Simple Lie Group of Hermitian Type

open access: yes, 1994
We generalize the Harish-Chandra inversion formula for the spherical transform on a Riemannian symmetric space to homogeneous line bundles on a Hermitian symmetric space. We determine the Plancherel measure explicitly.
N. Shimeno
semanticscholar   +1 more source

Gauging Lie group symmetry in (2+1)d topological phases

open access: yesSciPost Physics, 2023
We present a general algebraic framework for gauging a 0-form compact, connected Lie group symmetry in (2+1)d topological phases. Starting from a symmetry fractionalization pattern of the Lie group $G$, we first extend $G$ to a larger symmetry group ...
Meng Cheng, Po-Shen Hsin, Chao-Ming Jian
doaj   +1 more source

Simple Lie groups without the Approximation Property II [PDF]

open access: yes, 2013
We prove that the universal covering group $\widetilde{\mathrm{Sp}}(2,\mathbb{R})$ of $\mathrm{Sp}(2,\mathbb{R})$ does not have the Approximation Property (AP).
U. Haagerup, T. D. Laat
semanticscholar   +1 more source

Hurwitz components of groups with socle PSL(3, q)

open access: yesExtracta Mathematicae, 2021
For a finite group G, the Hurwitz space Hinr,g(G) is the space of genus g covers of the Riemann sphere P1 with r branch points and the monodromy group G. In this paper, we give a complete list of some almost simple groups of Lie rank two.
H.M. Mohammed Salih
doaj  

ON CUBATURE RULES ASSOCIATED TO WEYL GROUP ORBIT FUNCTIONS

open access: yesActa Polytechnica, 2016
The aim of this article is to describe several cubature formulas related to the Weyl group orbit functions, i.e. to the special cases of the Jacobi polynomials associated to root systems.
Lenka Háková   +2 more
doaj   +1 more source

Non-trivial m-quasi-Einstein metrics on simple Lie groups [PDF]

open access: yes, 2013
In this paper, we focus on left-invariant m-quasi-Einstein metrics on simple Lie groups. First, we prove that X is a left-invariant Killing vector field if the metric on a compact simple Lie group is m-quasi-Einstein.
Zhiqi Chen, Ke Liang, Fuhai Zhu
semanticscholar   +1 more source

On the Links of Simple Singularities, Simple Elliptic Singularities and Cusp Singularities

open access: yesDemonstratio Mathematica, 2015
This is a survey article about the study of the links of some complex hypersurface singularities in ℂ3 . We study the links of simple singularities, simple elliptic singularities and cusp singularities, and the canonical contact structures on them. It is
Kasuya Naohik
doaj   +1 more source

Cooking pasta with Lie groups

open access: yesNuclear Physics B, 2022
We extend the (gauged) Skyrme model to the case in which the global isospin group (which usually is taken to be SU(N)) is a generic compact connected Lie group G.
S.L. Cacciatori   +4 more
doaj  

Orthogonal polynomials of compact simple Lie groups: Branching rules for polynomials

open access: yes, 2010
Polynomials in this paper are defined starting from a compact semisimple Lie group. A known classification of maximal, semisimple subgroups of simple Lie groups is used to select the cases to be considered here.
Nesterenko, Maryna   +3 more
core   +1 more source

On the Unification of Gauge Symmetries in Theories with Dynamical Symmetry Breaking

open access: yes, 2005
We analyze approaches to the partial or complete unification of gauge symmetries in theories with dynamical symmetry breaking. Several types of models are considered, including those that (i) involve sufficient unification to quantize electric charge ...
Neil D. Christensen   +2 more
core   +1 more source

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