Results 41 to 50 of about 124,800 (224)
Lie bi-algebras on the non-commutative torus
Journal of Physics A: Mathematical and Theoretical, 2022 Abstract We use the canonical trace on the non-commutative torus T
Giovanni Landi, S G Rajeev
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A note on idempotent semirings [PDF]
Categories and General Algebraic Structures with ApplicationsFor a commutative semiring $S$, by an $S$-algebra we mean a commutative semiring $A$ equipped with a homomorphism $S\to A$. We show that the subvariety of $S$-algebras determined by the identities $1+2x=1$ and $x^2=x$ is closed under non-empty colimits ...
Manuela Sobral, George Janelidze
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Bootstrapping non-commutative gauge theories from L∞ algebras
Journal of High Energy Physics, 2018 Non-commutative gauge theories with a non-constant NC-parameter are investigated. As a novel approach, we propose that such theories should admit an underlying L∞ algebra, that governs not only the action of the symmetries but also the dynamics of the ...
Ralph Blumenhagen +3 more
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Supersymmetric Quantum Mechanics on Non-Commutative Plane [PDF]
, 2004 We study the Pauli equation on non-commutative plane. It is shown that the Supersymmetry algebra holds to all orders in the non-commutative parameter $\theta$ in case the gyro-magnetic ratio $g$ is 2. Using Seiberg-Witten map, the first order in $\theta$
Alvarez-Gaume +34 more
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The Arens-Calderon theorem for commutative topological algebras
Extracta MathematicaeA theorem of Arens and Calderon states that if A is a commutative Banach algebra with Jacobson radical Rad(A), and if a0 , . . . , an∈ A with a0 ∈ Rad(A) and a1 an invertible element of k A, then there exists y ∈ Rad(A) such that Σ ak yk = 0.
M. Weigt, I. Zarakas
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Quantization maps, algebra representation and non-commutative Fourier transform for Lie groups
, 2013 The phase space given by the cotangent bundle of a Lie group appears in the context of several models for physical systems. A representation for the quantum system in terms of non-commutative functions on the (dual) Lie algebra, and a generalized notion ...
Guedes, Carlos +2 more
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On the uniqueness of the unitary representations of the non commutative Heisenberg-Weyl algebra [PDF]
, 2009 In this paper we discuss the uniqueness of the unitary representations of the non commutative Heisenberg-Weyl algebra. We show that, apart from a critical line for the non commutative position and momentum parameters, the Stone-von Neumann theorem still ...
Bellucci S., F. G. Scholtz, L. Gouba
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Non-commutative finite associative algebras of 2-dimensional vectors [PDF]
Computer Science Journal of Moldova, 2017 In this paper properties of the non-commutative finite associative algebra of two-dimensional vectors are presented. Interesting features of algebra are mutual associativity of all modifications of the defined parameterized multiplication operation and ...
Alexander Moldovyan +2 more
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Bounded and unitary elements in pro-C^*-algebras
, 2005 A pro-C^*-algebra is a (projective) limit of C^*-algebras in the category of topological *-algebras. From the perspective of non-commutative geometry, pro-C^*-algebras can be seen as non-commutative k-spaces. An element of a pro-C^*-algebra is bounded if
A.V. Arkhangel'skî +29 more
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Composition-Diamond Lemma for Non-associative Algebras over a Commutative Algebra [PDF]
, 2010 We establish the Composition-Diamond lemma for non-associative algebras over a free commutative algebra. As an application, we prove that every countably generated non-associative algebra over an arbitrary commutative algebra $K$ can be embedded into a ...
Chen, Yuqun, Li, Jing, Zeng, Mingjun
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