Results 71 to 80 of about 278 (185)
On the multiplier of nilpotent n-Lie algebras
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Eshrati, M., Saeedi, F., Darabi, H.
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An extended definition of Anosov representation for relatively hyperbolic groups
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
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ABSTRACT We provide full details of a BV formulation of N=1$\mathcal N=1$ supergravity in 10 dimensions, to all orders in fermions, built from the generalised geometry description of the theory. In contrast to standard treatments, we introduce neither the degrees of freedom corresponding to orthonormal frames for the metric nor the local Lorentz ...
Julian Kupka +2 more
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Local derivation on the Schro¨dinger Lie algebra in (n+1)-dimensional space-time
This paper investigates local derivations on the Schro¨dinger Lie algebra sn, the Lie algebra of the (n+1)dimensional space-time Schro¨dinger group. As a finite-dimensional Lie algebra that is neither semisimple nor solvable, the Schr¨odinger algebra ...
A.K. Alauadinov, B.B. Yusupov
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Quantization of the AdS3 superparticle on OSP(1|2)2/SL(2,R)
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
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On almost nilpotent-by-abelian lie algebras
The authors show that a finite dimensional Lie algebra over a field \(F\) is almost nilpotent by abelian if and only if \(L\) is simple semiabelian or \(L=sl_2(F)\) where \(F\) is of characteristic 0. Then they consider the case of prime characteristic \(p\). Suppose that \(L\) is solvable and Frattini free.
Bowman, Kevin, Towers, David A.
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Commutators of Pre-Lie n-Algebras and PL∞-Algebras
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
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Harmonic Analysis in One-Parameter Metabelian Nilmanifolds
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
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Solvability and Nilpotency of Lie Algebras in Cryptography and Steganography
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 +3 more
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A Family of Complex Nilmanifolds with in finitely Many Real Homotopy Types
We find a one-parameter family of non-isomorphic nilpotent Lie algebras ga, with a > [0,∞), of real dimension eight with (strongly non-nilpotent) complex structures.
Latorre Adela +2 more
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