Results 11 to 20 of about 303 (182)
Structure and isomorphisms of quantum generalized Heisenberg algebras [PDF]
In [S. A. Lopes and F. Razavinia, Quantum generalized Heisenberg algebras and their representations, preprint (2020), arXiv:2004.09301] we introduced a new class of algebras, which we named quantum generalized Heisenberg algebras and which depend on a parameter [Formula: see text] and two polynomials [Formula: see text].
Samuel A Lopes, Razavinia, F
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Generalized Heisenberg–Virasoro algebra and matrix models from quantum algebra [PDF]
In this paper, we construct the Heisenberg–Virasoro algebra in the framework of the R(p,q)-deformed quantum algebras. Moreover, the R(p,q)-Heisenberg–Witt n-algebras is also investigated. Furthermore, we generalize the notion of the elliptic Hermitian matrix models.
Fridolin Melong, Raimar Wulkenhaar
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Non-Noetherian generalized Heisenberg algebras [PDF]
In this note, we classify the non-Noetherian generalized Heisenberg algebras [Formula: see text] introduced in [R. Lü and K. Zhao, Finite-dimensional simple modules over generalized Heisenberg algebras, Linear Algebra Appl. 475 (2015) 276–291]. In case deg [Formula: see text] > 1, we determine all locally finite and also all locally nilpotent ...
Samuel A Lopes
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Generalized coherent states for polynomial Weyl-Heisenberg algebras [PDF]
From an invited talk given by M.R. Kibler to TIM-11 (Timisoara, Romania, 24-26 November 2011) and to AAMP IX (Prague, Czech Republic, 12-15 December 2011)
Kibler, Maurice Robert, Daoud, Mohammed
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Argyres-Douglas theories, S-duality and AGT correspondence
We propose a Nekrasov-type formula for the instanton partition functions of four-dimensional N $$ \mathcal{N} $$ = 2 U(2) gauge theories coupled to (A 1 , D 2n ) Argyres-Douglas theories.
Takuya Kimura +3 more
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Current Hom-Lie algebras [PDF]
In this paper, we study Hom-Lie structures on tensor products. In particular, we consider current Hom-Lie algebras and discuss their representations.
Ben Jmaa, Torkia +2 more
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Lie-deformed quantum Minkowski spaces from twists: Hopf-algebraic versus Hopf-algebroid approach
We consider new Abelian twists of Poincare algebra describing nonsymmetric generalization of the ones given in [1], which lead to the class of Lie-deformed quantum Minkowski spaces.
Jerzy Lukierski +4 more
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Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras [PDF]
The correspondence between ordinary differential equations and Bethe ansatz equations for integrable lattice models in their continuum limits is generalised to vertex models related to classical simple Lie algebras.
Dunning, Clare +4 more
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TWIST DEFORMATIONS FOR GENERALIZED HEISENBERG ALGEBRAS [PDF]
Multidimensional Heisenberg algebras, whose creation and annihilation operators are the N-dimensional vectors, can be injected into simple Lie algebras g. It is demonstrated that the spectrum of their deformations can be investigated using chains of extended Jordanian twists applied to U(g).
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