Results 21 to 30 of about 321 (215)
On the Links of Simple Singularities, Simple Elliptic Singularities and Cusp Singularities
Demonstratio 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
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The index of compact simple Lie groups [PDF]
, 2017 Fil: Olmos, Carlos Enrique. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba.
Berndt, Jurgen, Olmos, Carlos
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Simple Lie groups without the approximation property [PDF]
Duke Mathematical Journal, 2013 Version 4, 29 pages.
Haagerup, Uffe, de Laat, Tim
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Relations Among Low-dimensional Simple Lie Groups [PDF]
, 2012 The groups of \(n\times n\) matrices \(\mathrm{SO}(n,{\mathbb R})\), \(\mathrm{SU}(n,{\mathbb C})\) and \(\mathrm{SO}(n,{\mathbb Q})\) are the standard examples of the classical Lie groups over the real \({\mathbb R}\), complex \({\mathbb C}\) and quaternion fields \( {\mathbb Q}\).
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Representations of Complex Semi-Simple Lie Groups and Lie Algebras [PDF]
The Annals of Mathematics, 1966 Let \(\mathfrak g\) be a complex semisimple Lie algebra, \(\mathfrak h\) a Cartan subalgebra of \(\mathfrak g\) and \(\Delta\) the set of roots of \(\mathfrak g\) with respect to \(\mathfrak h\). For any positive system \(P\) of roots we denote by \(D_P\) the set of all \(\lambda\in\mathfrak h^*\) which are integral and dominant relative to \(P\). Let \
Parthasarathy, K. R. +2 more
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Simple 𝑝-adic Lie groups with abelian Lie algebras
Journal für die reine und angewandte Mathematik (Crelles Journal)Abstract For each prime 𝑝 and each positive integer 𝑑, we construct the first examples of second countable, topologically simple 𝑝-adic Lie groups of dimension 𝑑 whose Lie algebras are abelian. This answers several questions of Glöckner and Caprace–Monod.
Caprace, P.-E., Minasyan, A., Osin, D.
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Character estimates of adjoint simple Lie groups [PDF]
Journal of Group Theory, 2014 Abstract Call a compact, connected, simple Lie group G adjoint simple if it has trivial center. Let C ⊂ G be a nontrivial conjugacy class, e ∈ G the identity element of G. We prove the existence of a bound N ∈ ℕ, depending on G but not C, such that e lies in the interior of Cn for all n ≥ N.
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Time after time – circadian clocks through the lens of oscillator theory
FEBS Letters, EarlyView.Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo +2 more
wiley +1 more source
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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The newfound relationship between extrachromosomal DNAs and excised signal circles
FEBS Letters, EarlyView.Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley +1 more source