Results 1 to 10 of about 71 (70)
Algebraic (super-)integrability from commutants of subalgebras in universal enveloping algebras
Journal of Physics A: Mathematical and Theoretical, 2023 Abstract Starting from a purely algebraic procedure based on the commutant of a subalgebra in the universal enveloping algebra of a given Lie algebra, the notion of algebraic Hamiltonians and the constants of the motion generating a polynomial symmetry algebra is proposed. The case of the special linear Lie algebra
Rutwig Campoamor-Stursberg +3 more
openaire +7 more sources
Algebras, traces, and boundary correlators in N $$ \mathcal{N} $$ = 4 SYM
Journal of High Energy Physics, 2021 We study supersymmetric sectors at half-BPS boundaries and interfaces in the 4d N $$ \mathcal{N} $$ = 4 super Yang-Mills with the gauge group G, which are described by associative algebras equipped with twisted traces.
Mykola Dedushenko, Davide Gaiotto
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Gradings, Braidings, Representations, Paraparticles: Some Open Problems
Axioms, 2012 A research proposal on the algebraic structure, the representations and the possible applications of paraparticle algebras is structured in three modules: The first part stems from an attempt to classify the inequivalent gradings and braided group ...
Konstantinos Kanakoglou
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Koszul Duality for Semidirect Products and Generalized Takiff Algebras [PDF]
, 2017 We obtain Koszul-type dualities for categories of graded modules over a graded associative algebra which can be realized as the semidirect product of a bialgebra coinciding with its degree zero part and a graded module algebra for the latter.
Mazorchuk, Volodymyr +3 more
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Composition-diamond lemma for modules [PDF]
, 2010 summary:We investigate the relationship between the Gröbner-Shirshov bases in free associative algebras, free left modules and "double-free" left modules (that is, free modules over a free algebra). We first give Chibrikov's Composition-Diamond lemma for
Chen, Yuqun +5 more
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Joseph ideals and harmonic analysis for osp(m|2n) [PDF]
, 2014 The Joseph ideal in the universal enveloping algebra U(so(m)) is the annihilator ideal of the so(m)-representation on the harmonic functions on R^m-2.
Somberg, Petr +2 more
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Duals of colored quantum universal enveloping algebras and colored universal script T sign-matrices
, 1998 We extend the notion of dually conjugate Hopf (super)algebras to the colored Hopf (super)algebras ℋc that we recently introduced. We show that if the standard Hopf (super)algebras ℋq that are the building blocks of ℋc have Hopf duals ℋ*q, then the latter
C. Quesne, Quesne, Christiane
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Primeness Criteria for Universal Enveloping Algebras of Lie Color Algebras
, 2001 Let L=L+⊕L− be a Lie color algebra with dimL−
Price, Kenneth L, Kenneth L Price
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Hopf algebras for ternary algebras
, 2009 We construct a universal enveloping algebra associated with the ternary extension of Lie (super)algebras called Lie algebra of order three. A Poincaré–Birkhoff–Witt theorem is proven is this context.
Rausch de Traubenberg, M. +3 more
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Quantum Algebras and Integrable Boundaries in AdS/CFT [PDF]
, 2012 This thesis studies quantum integrable structures such as Yangians and quantum affine algebras that arise in and are inspired by the AdS/CFT duality, with a primary emphasis on the exploration of integrable boundaries deeply hidden in the duality.
Regelskis, Vidas
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