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References (21)
-
P. Niroomand, F. Russo (2014)
On the size of the third homotopy group of the suspension of an Eilenberg--MacLane spaceTurkish Journal of Mathematics, 38
-
P. Niroomand, M. Parvizi, F. Russo (2013)
Some criteria for detecting capable Lie algebrasJournal of Algebra, 384
-
P. Niroomand (2010)
Some properties on the tensor square of Lie algebrasarXiv: Rings and Algebras
-
M. Rismanchian, M. Araskhan (2012)
Some inequalities for the dimension of the Schur multiplier of a pair of (nilpotent) Lie algebrasJournal of Algebra, 352
-
(1988)
LieGroups, LieAlgebras andCohomology -
M. Rismanchian, M. Araskhan (2012)
SOME PROPERTIES ON THE SCHUR MULTIPLIER OF A PAIR OF LIE ALGEBRASJournal of Algebra and Its Applications, 11
-
F. Russo (2010)
Some algebraic and topological properties of the nonabelian tensor productBulletin of The Korean Mathematical Society, 50
-
P. Niroomand, F. Russo (2011)
A restriction on the Schur multiplier of nilpotent Lie algebrasElectronic Journal of Linear Algebra, 22
-
C. Weibel (1960)
An Introduction to Homological Algebra: References -
J Rotman (1979)
An Introduction to Homological Algebra -
P. Niroomand, F. Russo (2013)
Some restrictions on the Betti numbers of a nilpotent Lie algebraBulletin of The Belgian Mathematical Society-simon Stevin, 21
-
G. Ellis (1991)
A non-abelian tensor product of Lie algebrasGlasgow Mathematical Journal, 33
-
F. Saeedi, A. Salemkar, Behrouz Edalatzadeh (2011)
The Commutator Subalgebra and Schur Multiplier of a Pair of Nilpotent Lie Algebras -
G. Ellis (1990)
Relative derived functors and the homology of groupsCahiers de Topologie et Géométrie Différentielle Catégoriques, 31
-
B Edalatzadeh (2011)
491J. Lie Theory, 21
-
G. Ellis (1998)
The Schur Multiplier of a Pair of GroupsApplied Categorical Structures, 6
-
GJ Ellis (1990)
121Cah. Topol. Géom. Différ. Catég., 31
-
J. Whitehead (1950)
A Certain Exact SequenceAnnals of Mathematics, 52
-
Behrooz Mashayekhy, H. Mirebrahimi, Zohreh Vasagh (2010)
A topological approach to the nilpotent multipliers of a free productGeorgian Mathematical Journal, 21
-
D. Guin (1988)
Cohomologie et homologie non abÉliennes des groupesJournal of Pure and Applied Algebra, 50
-
G. Ellis (1987)
Non-abelian exterior products of lie algebras and an exact sequence in the homology of lie algebrasJournal of Pure and Applied Algebra, 46
- Publisher
- Springer Journals
- Copyright
- Copyright © 2017 by Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia
- Subject
- Mathematics; Mathematics, general; Applications of Mathematics
- ISSN
- 0126-6705
- eISSN
- 2180-4206
- DOI
- 10.1007/s40840-017-0540-6
- Publisher site
- See Article on Publisher Site
Abstract
We prove a theorem of splitting for the nonabelian tensor product $$L \otimes N$$ L ⊗ N of a pair (L, N) of Lie algebras L and N in terms of its diagonal ideal $$L \square N$$ L □ N and of the nonabelian exterior product $$L \wedge N$$ L ∧ N . A similar circumstance was described few years ago in the special case $$N=L$$ N = L . The interest is due to the fact that the size of $$L \square N$$ L □ N influences strongly the structure of $$L \otimes N$$ L ⊗ N .
Journal
Bulletin of the Malaysian Mathematical Sciences Society – Springer Journals
Published: Aug 30, 2017