Results 11 to 20 of about 71 (69)
Duals of colored quantum universal enveloping algebras and colored universal script T sign-matrices [PDF]
, 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
core +1 more source
Primeness Criteria for Universal Enveloping Algebras of Lie Color Algebras [PDF]
, 2001 Let L=L+⊕L− be a Lie color algebra with dimL−
Price, Kenneth L, Kenneth L Price
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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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Hopf algebras for ternary algebras [PDF]
, 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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Z2×Z2 generalizations of N=1 superconformal Galilei algebras and their representations [PDF]
, 2019 We introduce two classes of novel color superalgebras of Z(2) x Z(2) grading. This is done by realizing members of each class within the universal enveloping algebra of the N = 1 supersymmetric extension of the conformal Galilei algebra.
Aizawa, N. +5 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
core +1 more source
Land Degradation &Development, EarlyView.ABSTRACT As the global tourism industry confronts the existential imperatives of the Anthropocene, the remediation of degraded landscapes through regenerative economic models has emerged as a critical frontier in sustainability science. This research presents a rigorous empirical examination of the “restoration–revenue” paradigm, investigating the ...
Xin Sui, Tianchang Chen
wiley +1 more source
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
core
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Digitalization and emerging technologies are increasing the demand for wireless sensing and the Internet of Things (IoT), which provide opportunities for autonomous sources of electricity in the form of energy harvesting systems. This paper focuses on the challenges in hybrid piezoelectric‐electromagnetic kinetic energy harvesting systems that
Petr Sosna, Damian Gaska, Zdeněk Hadaš
wiley +1 more source