The Schur Multiplier of Pairs of Nilpotent Lie Algebras

Document Type : Research Paper

Author

Department of Mathematics, Neyshabur Branch, Islamic Azad University, Neyshabur, Iran.

Abstract

The Schur multiplier of a pair of groups was introduced by Ellis in 1998. In this paper, we study the Schur multiplier and the c-nilpotent multiplier of pairs of Lie algebras and give some conditions under which the Schur multiplier of a pair of Lie algebras is trivial. Moreover, we give some conditions under which the higher multiplier of a pair of Lie algebras is not trivial.

Keywords

References

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Global Analysis and Discrete Mathematics
Volume 6, Issue 2
November 2021
Pages 215-220

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History

  • Receive Date: 06 October 2021
  • Revise Date: 26 November 2021
  • Accept Date: 04 December 2021

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