Results 31 to 40 of about 1,304,850 (179)
Expansion in finite simple groups of Lie type [PDF]
Journal of the European Mathematical Society, 2015 We show that random Cayley graphs of finite simple (or semisimple) groups of Lie type of fixed rank are expanders. The proofs are based on the Bourgain-Gamburd method and on the main result of our companion paper [BGGT].
Emmanuel Breuillard +3 more
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Compact Lie Groups, Generalised Euler Angles, and Applications
Universe, 2022 This is mainly a review of an intense 15-year long collaboration between the authors on explicit realisations of compact Lie groups and their applications.
Sergio Luigi Cacciatori, Antonio Scotti
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On E-functions of Semisimple Lie Groups
, 2011 We develop and describe continuous and discrete transforms of class functions on a compact semisimple, but not simple, Lie group $G$ as their expansions into series of special functions that are invariant under the action of the even subgroup of the Weyl
Hrivnák J +10 more
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Disjointness of a Simple Matrix Lie Group and Its Lie Algebra
Vietnam Journal of Mathematics, 2023 Let $G$ be a connected closed subgroup of $\mathrm{GL}_n(\mathbb{C})$ which is simple as a Lie group and which acts irreducibly on $\mathbb{C}^n$. Regarding both $G$ and its Lie algebra $\mathfrak{g}$ as subsets of $M_n(\mathbb{C})$, we have $G\cap \mathfrak{g}\neq\emptyset$ if and only if $G$ is a classical group and $\mathbb{C}^n$ is a minuscule ...
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Classification of harmonic homomorphisms between Riemannian three-dimensional unimodular Lie groups [PDF]
Arab Journal of Mathematical SciencesPurpose – The purpose of this study is to classify harmonic homomorphisms ϕ : (G, g) → (H, h), where G, H are connected and simply connected three-dimensional unimodular Lie groups and g, h are left-invariant Riemannian metrics.
Zagane Abdelkader +2 more
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Combinatorial descriptions of the crystal structure on certain PBW bases [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 Lusztig's theory of PBW bases gives a way to realize the crystal B(∞) for any simple complex Lie algebra where the underlying set consists of Kostant partitions. In fact, there are many different such realizations, one for each reduced expression for the
Ben Salisbury +2 more
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On the Unification of Gauge Symmetries in Theories with Dynamical Symmetry Breaking
, 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
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A Classification of Compact Cohomogeneity One Locally Conformal Kähler Manifolds
MathematicsIn this paper, we apply a result of the classification of a compact cohomogeneity one Riemannian manifold with a compact Lie group G to obtain a classification of compact cohomogeneity one locally conformal Kähler manifolds.
Daniel Guan
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Doubled aspects of generalised dualities and integrable deformations
Journal of High Energy Physics, 2019 The worldsheet theories that describe Poisson-Lie T-dualisable σ-models on group manifolds as well as integrable η, λ and β-deformations provide examples of ℰ-models.
Saskia Demulder +2 more
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RG flow of integrable E-models
Physics Letters B, 2021 We compute the one- and two-loop RG flow of integrable σ-models with Poisson-Lie symmetry. They are characterised by a twist function with 2N simple poles/zeros and a double pole at infinity.
Falk Hassler
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