On the $c$-nilpotent multiplier of a pair of Lie algebras

2020 ◽  
Vol 97 (1-2) ◽  
pp. 253-264 ◽  
Author(s):  
Hesam Safa ◽  
Homayoon Arabyani ◽  
Morteza Norouzi
Keyword(s):  
Lie Algebras ◽  
Pair Of Lie Algebras

scholarly journals Some upper bounds for the dimension of the c-nilpotent multiplier of a pair of Lie algebras

2020 ◽  
Vol 40 (2) ◽  
pp. 159
Author(s):  
Homayoon Arabyani ◽  
Mohammad Javad Sadeghifard ◽  
Sedigheh Sheikh-Mohseni
Keyword(s):  
Lie Algebras ◽  
Upper Bounds ◽  
Pair Of Lie Algebras

scholarly journals Capability and Schur multiplier of a pair of Lie algebras

2017 ◽  
Vol 114 ◽  
pp. 184-196 ◽  
Author(s):  
Farangis Johari ◽  
Mohsen Parvizi ◽  
Peyman Niroomand
Keyword(s):  
Lie Algebras ◽  
Schur Multiplier ◽  
Pair Of Lie Algebras

On c-nilpotent multiplier and c-covers of a pair of Lie algebras

2016 ◽  
Vol 45 (10) ◽  
pp. 4429-4434 ◽  
Author(s):  
Hesam Safa ◽  
Homayoon Arabyani
Keyword(s):  
Lie Algebras ◽  
Pair Of Lie Algebras

SOME PROPERTIES ON THE SCHUR MULTIPLIER OF A PAIR OF LIE ALGEBRAS

2012 ◽  
Vol 11 (01) ◽  
pp. 1250011 ◽  
Author(s):  
MOHAMMAD REZA RISMANCHIAN ◽  
MEHDI ARASKHAN
Keyword(s):  
Lie Algebra ◽  
Lie Algebras ◽  
Central Extension ◽  
Sufficient Condition ◽  
Schur Multiplier ◽  
Necessary And Sufficient Condition ◽  
Pair Of Lie Algebras ◽  
Necessary And Sufficient

The aim of this paper is to introduce the concept of the Schur multiplier [Formula: see text] of a pair of Lie algebras and to obtain some inequalities for the dimension of [Formula: see text]. Also, we consider some of the features of central extension of an arbitrary Lie algebra. Moreover, we present a necessary and sufficient condition in which the Schur multiplier of a pair of Lie algebras can be embedded into the Schur multiplier of their factor Lie algebras.

scholarly journals Matched pairs of Lie algebroids

1997 ◽  
Vol 39 (2) ◽  
pp. 167-181 ◽  
Author(s):  
Tahar Mokri
Keyword(s):  
Lie Algebra ◽  
Lie Algebras ◽  
Lie Algebroids ◽  
Matched Pair ◽  
Matched Pairs ◽  
Lie Groupoids ◽  
Pair Of Lie Algebras

AbstractWe extend to Lie algebroids the notion variously known as a double Lie algebra (Lu and Weinstein), matched pair of Lie algebras (Majid), or twilled extension of Lie algebras (Kosmann-Schwarzbach and Magri). It is proved that a matched pair of Lie groupoids induces a matched pair of Lie algebroids. Conversely, we show that under certain conditions a matched pair of Lie algebroids integrates to a matched pair of Lie groupoids. The importance of matched pairs of Lie algebroids has been recently demonstrated by Lu.

Some properties of c-covers of a pair of Lie algebras

2018 ◽  
Vol 42 (1) ◽  
pp. 37-45 ◽  
Author(s):  
Homayoon Arabyani ◽  
Hesam Safa
Keyword(s):  
Lie Algebras ◽  
Pair Of Lie Algebras

On dimension and homological methods of the (higher) Schur multiplier of a pair of Lie algebras

2017 ◽  
Vol 45 (11) ◽  
pp. 4707-4716
Author(s):  
Mohammad Reza Rismanchian ◽  
Mousa Molavi ◽  
Mehdi Araskhan
Keyword(s):  
Lie Algebras ◽  
Schur Multiplier ◽  
Pair Of Lie Algebras

Characterization of relativen-isoclinism of a pair of Lie algebras

2015 ◽  
Vol 38 (1) ◽  
pp. 27-39 ◽  
Author(s):  
M.R.R. Moghaddam ◽  
F. Saeedi ◽  
S. Tajnia ◽  
B. Veisi
Keyword(s):  
Lie Algebras ◽  
Pair Of Lie Algebras
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