Research Article
Year 2021,
Volume: 3 Issue: 2, 9 - 16, 10.10.2021
Abstract
References
- Akca,_I. and Arvasi, Z. Simplicial and Crossed Lie Algebras, homology, Homotopy and Applications, 4 (2002), 43-57.
- Gerstenhaber, M. On the deformation of Rings and Algebras, Ann. math, no. 84, (1966), 16.
- Kassel, C. and Loday, J. L. Extensions centrales d'algbres de Lie Ann. Inst. Fourier, Grenoble (1982), 32: 119-142.
- Lavendhomme, R. and Roisin, J.R. Cohomologie non abelienne de structures alge- briques, J.Algebra 99 (2), (1980), 385-414.
- Lichtenbaum, S. and Schlessingger, M. The contangent complex of a morphism, Trans. American Society, no. 18, (1967), pp. 41-70.
- Mosseri, R. and Dandolo , R. Geometry of entangled states, Bloch spheres and Hopf brations., J. Phys. A, 34 (2001), 10243-10252.
- Porter, T., Homology of Commutative Algebras and an Invariant of Simis and Vas- conceles, J.Algebra 99, (1986), 458-465.
- Porter, T., Crossed modules and internal categories of groups with operations, Proc. Edinburgh Math. Soc., (2) 30, (1987), no:3, 373-381.
- Samelson, H., Notes on Lie Algebra, University of Crete Department of Mathematics, 165 (1969), 1-3.
- Shammu, N.M., Algebraic and Categorical Structure of Category of Crossed Modules of Algebras, Ph.D, U C N W., (1992).
- Whitehead, J.H.C., Combinatorial Homotopy II , Bull.American Math. Society, 55 (1949), 453-456.
Year 2021,
Volume: 3 Issue: 2, 9 - 16, 10.10.2021
Abstract
In this work, we showed that the category of crossed modules over Lie algebras is fibred over the category of Lie algebras by illustrating that the forgetful functor is a fibration.
Keywords
References
- Akca,_I. and Arvasi, Z. Simplicial and Crossed Lie Algebras, homology, Homotopy and Applications, 4 (2002), 43-57.
- Gerstenhaber, M. On the deformation of Rings and Algebras, Ann. math, no. 84, (1966), 16.
- Kassel, C. and Loday, J. L. Extensions centrales d'algbres de Lie Ann. Inst. Fourier, Grenoble (1982), 32: 119-142.
- Lavendhomme, R. and Roisin, J.R. Cohomologie non abelienne de structures alge- briques, J.Algebra 99 (2), (1980), 385-414.
- Lichtenbaum, S. and Schlessingger, M. The contangent complex of a morphism, Trans. American Society, no. 18, (1967), pp. 41-70.
- Mosseri, R. and Dandolo , R. Geometry of entangled states, Bloch spheres and Hopf brations., J. Phys. A, 34 (2001), 10243-10252.
- Porter, T., Homology of Commutative Algebras and an Invariant of Simis and Vas- conceles, J.Algebra 99, (1986), 458-465.
- Porter, T., Crossed modules and internal categories of groups with operations, Proc. Edinburgh Math. Soc., (2) 30, (1987), no:3, 373-381.
- Samelson, H., Notes on Lie Algebra, University of Crete Department of Mathematics, 165 (1969), 1-3.
- Shammu, N.M., Algebraic and Categorical Structure of Category of Crossed Modules of Algebras, Ph.D, U C N W., (1992).
- Whitehead, J.H.C., Combinatorial Homotopy II , Bull.American Math. Society, 55 (1949), 453-456.
There are 11 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Research Article |
| Authors | |
| Acceptance Date | October 11, 2021 |
| Publication Date | October 10, 2021 |
| DOI | https://doi.org/10.54286/ikjm.983165 |
| IZ | https://izlik.org/JA42AK63ZJ |
| Published in Issue | Year 2021 Volume: 3 Issue: 2 |