Bounds for the dimension of the Schur multiplier of finite dimensional nilpotent Lie algebras
From MaRDI portal
Publication:6146418
DOI10.1016/j.jalgebra.2023.12.026OpenAlexW4390578551MaRDI QIDQ6146418
Publication date: 5 February 2024
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2023.12.026
cohomology of Lie algebrasSchur multiplierHeisenberg algebrashomology of Lie algebrafinite dimensional nilpotent Lie algebras
Structure theory for Lie algebras and superalgebras (17B05) Homological methods in Lie (super)algebras (17B55) Solvable, nilpotent (super)algebras (17B30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some restrictions on the Betti numbers of a nilpotent Lie algebra
- Capability and Schur multiplier of a pair of Lie algebras
- Six-dimensional nilpotent Lie algebras
- A description of pseudo-bosons in terms of nilpotent Lie algebras
- Some inequalities for the dimension of the \(c\)-nilpotent multiplier of Lie algebras
- On the order of Schur multiplier of non-Abelian \(p\)-groups.
- Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2
- On the multiplier of nilpotent \(n\)-Lie algebras
- On classification of groups having Schur multiplier of maximum order. II
- Some results on the Schur multipliers of nilpotent Lie algebra
- Decomposition of the nonabelian tensor product of Lie algebras via the diagonal ideal
- Finite \(p\)-groups having Schur multiplier of maximum order
- On the presence of families of pseudo-bosons in nilpotent Lie algebras of arbitrary corank
- On the relation between upper central quotients and lower central series of a group
- A Note on the Schur Multiplier of a Nilpotent Lie Algebra
- On the number of automorphisms of a finite group
- Lie Groups, Lie Algebras, and Cohomology. (MN-34), Volume 34
- A bound for the derived and Frattini subgroups of a prime-power group
- On characterizing nilpotent lie algebras by their multiplierst(L) = 3,4,5,6
- On characterizing nilpotent lie algebras by their multipliers
- A bound on the Schur multiplier of a prime-power group
- The schur multiplier of a nilpotent Lie algebra with derived subalgebra of maximum dimension
- Nilpotent lie algebras having the Schur multiplier of maximum dimension
- On the dimension of the Schur multiplier of nilpotent lie algebras
- Classification and Identification of Lie Algebras
- On Characterizing Nilpotent Lie Algebras by Their Multipliers, III
- Realization of Lie algebras of high dimension via pseudo-bosonic operators
This page was built for publication: Bounds for the dimension of the Schur multiplier of finite dimensional nilpotent Lie algebras