Results 61 to 70 of about 218,663 (179)
Mathematical Structures in Computer ScienceAbstractWe present our library for universal algebra in the UniMath framework dealing with multi-sorted signatures, their algebras and the basics for equation systems. We show how to implement term algebras over a signature without resorting to general inductive constructions (currently not allowed in UniMath) still retaining the computational nature ...
Gianluca Amato +3 more
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Do $n$-Lie algebras have universal enveloping algebras
, 2015 The aim of this paper is to investigate in which sense, for $n\geq 3$, $n$-Lie algebras admit universal enveloping algebras. There have been some attempts at a construction (see [10] and [5]) but after analysing those we come to the conclusion that they cannot be valid in general. We give counterexamples and sufficient conditions.
Garcia Martinez, Xabier +2 more
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Ideals and congruences in $L$-algebras and pre-$L$-algebras [PDF]
Categories and General Algebraic Structures with ApplicationsWe link the recent theory of $L$-algebras to previous notions of Universal Algebra and Categorical Algebra concerning subtractive varieties, commutators, multiplicative lattices, and their spectra.
Marino Gran +2 more
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Universal enveloping algebras and universal derivations of Poisson algebras
Journal of Algebra, 2012 20 ...
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On algebraic properties of universal algebras
Sibirskie Elektronnye Matematicheskie Izvestiya, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Unified Treatment of a Class of Spherically Symmetric Potentials: Quasi-Exact Solution
Advances in High Energy Physics, 2016 We investigate the Schrödinger equation for a class of spherically symmetric potentials in a simple and unified manner using the Lie algebraic approach within the framework of quasi-exact solvability.
H. Panahi, M. Baradaran
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Koszul homomorphisms and universal resolutions in local algebra
Forum of Mathematics, SigmaWe define a local homomorphism $(Q,k)\to (R,\ell )$ to be Koszul if its derived fiber $R\otimes ^{\mathsf {L}}_Q k$ is formal, and if $\operatorname {Tor}^{Q}(R,k)$ is Koszul in the classical sense.
Benjamin Briggs +3 more
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Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We prove an explicit formula for a projection of singular vectors in the Verma module over a rank 2 Kac-Moody Lie algebra onto the universal enveloping algebra of the Heisenberg Lie algebra and of sl_2 (Theorem 3).
Dmitry Fuchs, Constance Wilmarth
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Deformations over non-commutative base
Comptes Rendus. MathématiqueWe make some remarks on deformation theory over non-commutative base. We describe the base algebra of semi-universal non-commutative deformations using vector spaces $T^1$ and $T^2$.
Kawamata, Yujiro
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On simplicity of Cuntz algebras and its applications [PDF]
Surveys in Mathematics and its ApplicationsCuntz algebra 𝒪2 is the universal C*-algebra generated by two isometries s1, s2 satisfying s1s1*+s2s2*=1. This is separable, simple, infinite C*-algebra containing a copy of any nuclear C*-algebra.
Massoud Amini, Mahdi Moosazadeh
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