Results 161 to 170 of about 277 (187)
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On the Homology of Free Nilpotent Lie Algebras
Journal of Lie Theory, 2002Let \(\mathcal L(r)\) be a free Lie algebra over \(\mathbb C\) of rank \(r\), \(H_i(r)\) the vector space of homogeneous Lie polynomials of degree \(i\) in \(\mathcal L(r)\). The free \(N\)-step nilpotent Lie algebra of rank \(r\) is the Lie algebra \[ \mathcal L(N, r)=\frac{\mathcal L(r)}{\sum_{i\geq N+1}H_i(r)}.
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Automorphism Groups of Nilpotent Lie Algebras
Journal of the London Mathematical Society, 1987It is shown that every linear algebraic group (over an arbitrary field) arises from some nilpotent Lie algebra \(L\) as the group of linear transformations induced on the commutator quotient \(L/[L,L]\) by the automorphism group of \(L\). More precisely, let \(k\) be a field and let \(K\) be an extension field of \(k\).
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Image of Lie polynomial of degree 2 evaluated on nilpotent Lie algebra
Communications in Algebra, 2023Niranjan Nehra, Shushma Rani
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The schur multiplier of a nilpotent Lie algebra with derived subalgebra of maximum dimension
Quaestiones Mathematicae, 2021Farangis Johari, Peyman Niroomand
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On Characterizing Nilpotent Lie Algebra by Their Multiplier, $$ s(L)=6, 7 $$
Results in Mathematics, 2022Peyman Niroomand
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On nilpotent generators of the symplectic Lie algebra
Linear and Multilinear Algebra, 2022Alisa Chistopolskaya
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A method to obtain the lie group associated with a nilpotent lie algebra
Computers and Mathematics With Applications, 2006J Nunez, ÁNgel F Tenorio
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A Note on the Schur Multiplier of a Nilpotent Lie Algebra
Communications in Algebra, 2011Peyman Niroomand, Francesco G Russo
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