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Communications in Algebra Volume 39, 2011 - Issue 4
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Original Articles

A Note on the Schur Multiplier of a Nilpotent Lie Algebra

Peyman Niroomand School of Mathematics and Computer Science, Damghan University, Damghan, IranCorrespondence[email protected] ; [email protected]
&
Francesco G. Russo Department of Mathematics, University of Palermo, Palermo, Italy
Pages 1293-1297 | Received 02 Jan 2010, Published online: 18 Mar 2011

Citations (36)

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Farangis Johari & Peyman Niroomand. (2022) The capability and certain functors of some nilpotent lie algebras of class two. Linear and Multilinear Algebra 70:21, pages 7189-7203.
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Hesam Safa. (2022) The Schur multiplier of an n-Lie superalgebra. Communications in Algebra 50:7, pages 2983-2996.
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Rudra Narayan Padhan, Saudamini Nayak & K. C. Pati. (2021) Detecting capable Lie superalgebras. Communications in Algebra 49:10, pages 4274-4290.
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Farangis Johari, Peyman Niroomand & Afsaneh Shamsaki. (2021) The schur multiplier of a nilpotent Lie algebra with derived subalgebra of maximum dimension. Quaestiones Mathematicae 44:6, pages 849-856.
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Peyman Niroomand & Afsaneh Shamsaki. (2020) Nilpotent lie algebras having the Schur multiplier of maximum dimension. Quaestiones Mathematicae 43:9, pages 1239-1246.
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Seyedeh Nafiseh Akbarossadat & Farshid Saeedi. (2020) On the dimension of the Schur multiplier of n-Lie algebras. Linear and Multilinear Algebra 68:7, pages 1465-1499.
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Seyedeh Narges Hosseini, Behrouz Edalatzadeh & Ali Reza Salemkar. (2020) The non-abelian tensor product and the second homology of Leibniz algebras. Communications in Algebra 48:2, pages 759-770.
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Pradeep K. Rai. (2019) On the dimension of the Schur multiplier of nilpotent lie algebras. Communications in Algebra 47:10, pages 3982-3986.
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Peyman Niroomand, Farangis Johari & Mohsen Parvizi. (2019) Capable Lie algebras with the derived subalgebra of dimension 2 over an arbitrary field. Linear and Multilinear Algebra 67:3, pages 542-554.
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Guy R. Biyogmam. (2019) On the dimension of the c-nilpotent Schur Lie-multiplier of Leibniz algebras. Communications in Algebra 47:3, pages 1091-1098.
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Saudamini Nayak. (2019) Multipliers of nilpotent Lie superalgebras. Communications in Algebra 47:2, pages 689-705.
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Articles from other publishers (25)

Farangis Johari. (2024) Bounds for the dimension of the Schur multiplier of finite dimensional nilpotent Lie algebras. Journal of Algebra 643, pages 175-202.
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Ibrahem Yakzan Hasan, Rudra Narayan Padhan & Manjula Das. (2022) Detecting capable pairs of some nilpotent Lie superalgebras. Indian Journal of Pure and Applied Mathematics 55:1, pages 78-93.
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Fatemeh Pazandeh Shanbehbazari, Peyman Niroomand, Francesco G. Russo & Afsaneh Shamsaki. (2021) Capability of Nilpotent Lie Algebras of Small Dimension. Bulletin of the Iranian Mathematical Society 48:3, pages 1153-1167.
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Peyman Niroomand & Afsaneh Shamsaki. (2022) On Characterizing Nilpotent Lie Algebra by Their Multiplier, $$ s(L)=6, 7 $$. Results in Mathematics 77:2.
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Wende Liu & Xingxue Miao. (2021) Multipliers, covers, and stem extensions for Lie superalgebras. Frontiers of Mathematics in China 16:4, pages 979-995.
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Seyedeh Narges Hosseini, Behrouz Edalatzadeh & Ali Reza Salemkar. (2021) Characterizing nilpotent Leibniz algebras by their multiplier. Journal of Algebra 578, pages 356-370.
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Afsaneh Shamsaki & Peyman Niroomand. (2019) On characterizing nilpotent Lie algebras by their multiplier, $$s(L)=4$$. Rendiconti del Circolo Matematico di Palermo Series 2 69:1, pages 259-272.
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Farangis Johari, Peyman Niroomand & Mohsen Parvizi. (2019) c-Nilpotent multiplier and c-capability of the direct sum of Lie algebras. Journal of Algebra and Its Applications 19:02, pages 2050037.
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Farangis Johari & Peyman Niroomand. (2019) Certain functors of nilpotent Lie algebras with the derived subalgebra of dimension two. Journal of Algebra and Its Applications 19:01, pages 2050012.
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Peyman Niroomand & Farangis Johari. (2019) Some results on the Schur multipliers of nilpotent Lie algebra. Journal of Algebra 534, pages 34-50.
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Afsaneh Shamsaki & Peyman Niroomand. (2019) The Schur multipliers of Lie algebras of maximal class. International Journal of Algebra and Computation 29:05, pages 795-801.
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Fabio Bagarello & Francesco G. Russo. (2019) On the presence of families of pseudo-bosons in nilpotent Lie algebras of arbitrary corank. Journal of Geometry and Physics 137, pages 124-131.
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Homayoon Arabyani. (2018) Some Results on the c-Nilpotent Multiplier of a Pair of Lie Algebras. Bulletin of the Iranian Mathematical Society 45:1, pages 205-212.
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Peyman Niroomand & Farangis Johari. (2018) The structure, capability and the Schur multiplier of generalized Heisenberg Lie algebras. Journal of Algebra 505, pages 482-489.
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Ali Reza Salemkar & Arezoo Aslizadeh. (2018) The nilpotent multipliers of the direct sum of Lie algebras. Journal of Algebra 495, pages 220-232.
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Fabio Bagarello & Francesco G. Russo. (2018) A description of pseudo-bosons in terms of nilpotent Lie algebras. Journal of Geometry and Physics 125, pages 1-11.
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F. Saeedi, H. Arabyani & P. Niroomand. (2017) On dimension of Schur multiplier of nilpotent Lie algebras II. Asian-European Journal of Mathematics 10:04, pages 1750076.
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Peyman Niroomand & Mohsen Parvizi. (2017) 2-capability and 2-nilpotent multiplier of finite dimensional nilpotent Lie algebras. Journal of Geometry and Physics 121, pages 180-185.
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Farangis Johari, Mohsen Parvizi & Peyman Niroomand. (2017) Capability and Schur multiplier of a pair of Lie algebras. Journal of Geometry and Physics 114, pages 184-196.
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Peyman Niroomand & Mohsen Parvizi. (2016) 2-Nilpotent multipliers of a direct product of Lie algebras. Rendiconti del Circolo Matematico di Palermo (1952 -) 65:3, pages 519-523.
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Peyman Niroomand, Farangis Johari & Mohsen Parvizi. (2016) On the capability and Schur multiplier of nilpotent Lie algebra of class two. Proceedings of the American Mathematical Society 144:10, pages 4157-4168.
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M. Eshrati, F. Saeedi & H. Darabi. (2016) On the multiplier of nilpotent n-Lie algebras. Journal of Algebra 450, pages 162-172.
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Peyman Niroomand, Mohsen Parvizi & Francesco G. Russo. (2013) Some criteria for detecting capable Lie algebras. Journal of Algebra 384, pages 36-44.
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PEYMAN NIROOMAND. (2012) SOME PROPERTIES ON THE TENSOR SQUARE OF LIE ALGEBRAS. Journal of Algebra and Its Applications 11:05, pages 1250085.
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Peyman Niroomand. (2010) On dimension of the Schur multiplier of nilpotent Lie algebras. Central European Journal of Mathematics 9:1, pages 57-64.
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