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Colimits in the Crossed Modules Category in Lie Algebras
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J. M. Casas
Veröffentlicht/Copyright:
23. Februar 2010
Abstract
In this paper a left adjoint is constructed for the restriction (or pullback) functor associated to a morphism of Lie algebras. Colimits in the category of crossed modules in Lie algebras and a new result on crossed modules induced by a morphism of Lie algebras ι : P → Q in the case where ι is the inclusion of an ideal, are obtained.
Received: 1999-05-03
Published Online: 2010-02-23
Published in Print: 2000-September
© Heldermann Verlag
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Artikel in diesem Heft
- Functions of Generalized Wiener Classes BV (p(n) ↑ ∞, ϕ) and their Fourier Coefficients
- On One Class of Spatial Nonlocal Problems for Some Hyperbolic Equations
- The Basic Mixed Plane Boundary Value Problem of Statics in the Elastic Mixture Theory
- Boundary Problems of Thermopiezoelectricity in Domains with Cuspidal Edges
- Colimits in the Crossed Modules Category in Lie Algebras
- On Some (Hp,q, Lp,q)-Type Maximal Inequalities with Respect to the Walsh–Paley System
- Upper and Lower Solutions of Boundary Value Problems for Functional Differential Equations and Theorems on Functional Differential Inequalities
- Boundary Value Problems of Bending of A Plate for an Infinite Doubly-Connected Domain Bounded by Broken Lines
- Some Fixed Point Theorems in Metrically Convex Spaces
- Weak Type Maximal Inequality and the Rate of Growth of Integral Means
- On the Number of Representations of Positive Integers by Some Quadratic Forms in Fourteen Variables
- On the (C, –1 < α < 0)-Summability of Series with Respect to Block-Orthonormal Systems
- Oscillation of the Riemann–Weber Version of Euler Differential Equations with Delay
- Upper and Lower Solutions Method for A System of Higher Order Difference Equations
Schlagwörter für diesen Artikel
Crossed module;
colimits;
restriction functor;
induced crossed module
Artikel in diesem Heft
- Functions of Generalized Wiener Classes BV (p(n) ↑ ∞, ϕ) and their Fourier Coefficients
- On One Class of Spatial Nonlocal Problems for Some Hyperbolic Equations
- The Basic Mixed Plane Boundary Value Problem of Statics in the Elastic Mixture Theory
- Boundary Problems of Thermopiezoelectricity in Domains with Cuspidal Edges
- Colimits in the Crossed Modules Category in Lie Algebras
- On Some (Hp,q, Lp,q)-Type Maximal Inequalities with Respect to the Walsh–Paley System
- Upper and Lower Solutions of Boundary Value Problems for Functional Differential Equations and Theorems on Functional Differential Inequalities
- Boundary Value Problems of Bending of A Plate for an Infinite Doubly-Connected Domain Bounded by Broken Lines
- Some Fixed Point Theorems in Metrically Convex Spaces
- Weak Type Maximal Inequality and the Rate of Growth of Integral Means
- On the Number of Representations of Positive Integers by Some Quadratic Forms in Fourteen Variables
- On the (C, –1 < α < 0)-Summability of Series with Respect to Block-Orthonormal Systems
- Oscillation of the Riemann–Weber Version of Euler Differential Equations with Delay
- Upper and Lower Solutions Method for A System of Higher Order Difference Equations
