Results 91 to 100 of about 538,257 (210)

Solvable 3-Lie algebras with a maximal hypo-nilpotent ideal N [PDF]

, 2010
This paper obtains all solvable 3-Lie algebras with the m-dimensional filiform 3-Lie algebra N (m >= 5) as a maximal hypo-nilpotent ideal, and proves that the m-dimensional filiform 3-Lie algebra N can't be as the nilradical of solvable non-nilpotent 3 ...
Zhang, Yao-Zhong, Shen, Cai-Hong, Bai, Rui-Pu   +2 more
core   +1 more source

Quantization of the AdS3 superparticle on OSP(1|2)2/SL(2,R)

Nuclear Physics B, 2017
We analyze AdS3 superparticle dynamics on the coset OSP(1|2)×OSP(1|2)/SL(2,R). The system is quantized in canonical coordinates obtained by gauge invariant Hamiltonian reduction.
Martin Heinze, George Jorjadze
doaj   +1 more source

On the multiplier of nilpotent n-Lie algebras

Journal of Algebra, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eshrati, M., Saeedi, F., Darabi, H.
openaire   +2 more sources

Commutators of Pre-Lie n-Algebras and PL_∞-Algebras

Mathematics
We show that a PL∞-algebra V can be described by a nilpotent coderivation of degree −1 on coalgebra P*V. Based on this result, we can generalise the result of Lada to show that every A∞-algebra carries a PL∞-algebra structure and every PL∞-algebra ...
Mengjun Wang, Zhixiang Wu
doaj   +1 more source

On Exceptional Nilpotents in Semisimple Lie Algebras

Journal of Lie Theory, 2009
15 ...
Elashvili, A. G., Kac, V. G., Vinberg, E. B.   +2 more
openaire   +3 more sources

Harmonic Analysis in One-Parameter Metabelian Nilmanifolds

Symmetry, Integrability and Geometry: Methods and Applications, 2011
Let G be a connected, simply connected one-parameter metabelian nilpotent Lie group, that means, the corresponding Lie algebra has a one-codimensional abelian subalgebra. In this article we show that G contains a discrete cocompact subgroup.
Amira Ghorbel
doaj   +1 more source

On commuting automorphisms of nilpotent Lie algebras

Communications in Algebra
We investigate the commuting automorphisms of nilpotent Lie algebras $L$ with coclass $\leq 3$. Our examination exposes the conditions under which the set of commuting automorphisms of $L$ forms a subgroup within its automorphism group.
Shushma Rani, Niranjan Nehra, Rohit Garg
openaire   +2 more sources

A computational approach to 1-dimensional representations of finite W-algebras associated to simple Lie algebras of exceptional type

, 2010
Let g be a simple complex Lie algebra and let e be a nilpotent element of g. It was conjectured by Premet in [P07i] that the finite W-algebra U(g; e) admits a 1-dimensional representation, and further work [L10, P08] has reduced this conjecture to the ...
Ubly, Glenn
core   +1 more source

Structural Cryptanalysis of a Class-2 Nilpotent Lie Algebra Signature Candidate: Linearization and Equivalent-Secret Forgery

Mathematics
This study presents a structural cryptanalysis of a Fiat–Shamir-type digital-signature candidate based on class-2 nilpotent Lie algebras over finite fields.
Aybeyan Selim, Omer Aydin, Muzafer Saračević, Komlen Lalović, Arsim Susuri   +4 more
doaj   +1 more source

Solvability and Nilpotency of Lie Algebras in Cryptography and Steganography

Mathematics
This paper investigates the role of solvable and nilpotent Lie algebras in the domains of cryptography and steganography, emphasizing their potential in enhancing security protocols and covert communication methods.
Amor Hasić, Melisa Azizović, Emruš Azizović, Muzafer Saračević   +3 more
doaj   +1 more source