Results 101 to 110 of about 23,566 (314)
Braided Lie bialgebras associated to Kac-Moody algebras [PDF]
, 2008 Braided-Lie bialgebras have been introduced by Majid, as the Lie versions of Hopf algebras in braided categories. In this paper we extend previous work of Majid and of ours to show that there is a braided-Lie bialgebra associated to each inclusion of Kac-
Grabowski, JE, Grabowski, Jan
core
Higher-dimensional automorphic lie algebras
, 2016 The paper presents the complete classification of Automorphic Lie Algebras based on sln(C)sln(C) , where the symmetry group G is finite and acts on sln(C)sln(C) by inner automorphisms, sln(C)sln(C) has no trivial summands, and where the poles are in ...
Sanders, Jan +11 more
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Advanced Physics Research, EarlyView.ABSTRACT We introduce a family of bosonic quantum error‐correcting codes built as a rotation‐symmetric superposition of squeezed vacuum states, which promise protection against both loss and dephasing noise channels. The robustness of these “squeezed‐vacuum codes” arises from being arranged at evenly spaced angles in phase‐space, and simultaneously in ...
Nir Gutman +4 more
wiley +1 more source
On the universal enveloping algebra of a lie algebroid
, 2010 We review the extent to which the structure of the universal enveloping algebra of a Lie algebroid over a manifold M resembles a Hopf algebra, and prove a Cartier-Milnor-Moore theorem for this type of ...
Mrcun, J. +4 more
core +2 more sources
On Inner Derivations of Leibniz Algebras
MathematicsLeibniz algebras are generalizations of Lie algebras. Similar to Lie algebras, inner derivations play a crucial role in characterizing complete Leibniz algebras.
Sutida Patlertsin +2 more
doaj +1 more source
The Centroid of a Lie Triple Algebra
Abstract and Applied Analysis, 2013 General results on the centroids of Lie triple algebras are developed. Centroids of the tensor product of a Lie triple algebra and a unitary commutative associative algebra are studied.
Xiaohong Liu, Liangyun Chen
doaj +1 more source
Algebras of quotients of Lie algebras
Journal of Pure and Applied Algebra, 2004 If \(L\) is a subalgebra of a Lie algebra \(Q\); and if given \(p; q \in Q\) with \(p \not= 0\); there exists \(x \in L\) such that \([x; p] \not= 0\) and \([x; {}_L (q)] \subseteq L\) for \({}_L (q)\) the linear span in \(Q\) of \(q\) and the elements \(\text{ad}x_1 \cdots \text{ad}x_n q\) for \(x_1, \dots, x_n \in L\); then \(Q\) is called an algebra
openaire +2 more sources
On structural aspects of finite simple groups of Lie type
, 2011 PhDIn this PhD thesis, we consider two problems that are related to finite simple groups of Lie type. First of them is a problem mentioned in the Kourovka notebook: describe the finite simple groups in which every element is a product of two ...
Ramo, Johanna Maria
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C-Ideals of Lie Algebras. [PDF]
, 2009 A subalgebra B of a Lie algebra L is called a c-ideal of L if there is an ideal C of L such that L = B + C and B \cap C \leq B_L, where B_L is the largest ideal of L contained in B.
Towers, David A.
core
Risk‐aware safe reinforcement learning for control of stochastic linear systems
Asian Journal of Control, EarlyView.Abstract This paper presents a risk‐aware safe reinforcement learning (RL) control design for stochastic discrete‐time linear systems. Rather than using a safety certifier to myopically intervene with the RL controller, a risk‐informed safe controller is also learned besides the RL controller, and the RL and safe controllers are combined together ...
Babak Esmaeili +2 more
wiley +1 more source