Results 261 to 270 of about 539,900 (289)
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Georgian Mathematical Journal, 2003
Abstract We introduce the notion of (pre)crossed module in a semiabelian category, and establish equivalences between internal reflexive graphs and precrossed modules, and between internal categories and crossed modules.
G Janelidze
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Abstract We introduce the notion of (pre)crossed module in a semiabelian category, and establish equivalences between internal reflexive graphs and precrossed modules, and between internal categories and crossed modules.
G Janelidze
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Mathematical and Computational Applications, 2004 In this paper we will give some algebraic results of crossed modules of ...
Zekeriya Arvasi
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On Lie Algebra Crossed Modules [PDF]
Communications in Algebra, 2006 This article constructs a crossed module corresponding to the generator of the third cohomology group with trivial coefficients of a complex simple Lie algebra. This generator reads as , constructed from the Lie bracket [,] and the Killing form . The construction is inspired by the corresponding construction for the Lie algebra of formal vector fields ...
Friedrich Wagemann
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Homotopies and Automorphisms of Crossed Modules of Groupoids
Applied Categorical Structures, 2003 We give a detailed description of the structure of the actor 2-crossed module related to the automorphisms of a crossed module of groupoids. This generalises work of Brown and Gilbert for the case of crossed modules of groups, and part of this is needed for work on 2-dimensional holonomy to be developed elsewhere (see math.DG/0009082).
Ronald Brown, İlhan İÇen
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Crossed modules and doi-hopf modules
Israel Journal of Mathematics, 1997The main result of this paper is that crossed modules (also known as Yetter-Drinfeld modules) are particular cases of Doi's unified Hopf modules. A generalization of crossed modules is introduced to this end, and a generalization of the Drinfeld double is defined. The latter turns out to be isomorphic to a (generalized) smash product.
Caenepeel, Stefaan +2 more
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On the Second Homology of Crossed Modules
Bulletin of the Malaysian Mathematical Sciences Society, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Taha, Tahereh Fakhr +2 more
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Modulation instability induced by cross-phase modulation
Physical Review Letters, 1987Modulation instability that leads to breakup of intense cw radiation into a train of ultrashort pulses during propagation in optical fibers occurs only in the presence of anomalous group-velocity dispersion. It is shown that a new kind of modulation instability can occur even in the normal-dispersion regime when two copropagating optical fields ...
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Modulated cross-phase-modulation spectra
OSA Annual Meeting, 1993When a weak probe and a strong pump pulses propagate together in a material, coupled interactions occur through the third order nonlinearity. This process leads to the self-phase-modulation (SPM) and cross-phase-modulation (XPM). The spectral shift of XPM can be controlled by adjusting the time delay between the pump and probe pulses.1 When the pump ...
Q. Z. Wang +4 more
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Cross-modulation in ring diode modulators
Proceedings of the IEEE, 1968Although intermodulation generation in ring diode medulators is the result of switching point interference and diode forward nonlinearity, cross-modulation is the result of the latter effect only. It is shown that the concept of variable trusconductance can be used to predict cross-modulation effects in ring diode modulators.
P.C. Agrawal, J.V. Hanson
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PULLBACK CROSSED MODULES OF ALGEBROIDS
2008In this paper, we present algebroids and crossed modules of algebroids. We also define pullbackcrossed module of algebroids.
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