Results 21 to 30 of about 218,663 (179)
Diagonal Coinvariants and Double Affine Hecke Algebras [PDF]
, 2003 We establish a q-generalization of Gordon's theorem that the space of diagonal coinvariants has a quotient identified with a perfect representation of the rational double affine Hecke algebra.
Cherednik, Ivan
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A note on the restricted universal enveloping algebra of a restricted Lie-Rinehart Algebra
, 2015 Lie-Rinehart algebras, also known as Lie algebroids, give rise to Hopf algebroids by a universal enveloping algebra construction, much as the universal enveloping algebra of an ordinary Lie algebra gives a Hopf algebra, of infinite dimension.
Schauenburg, Peter
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Hopf algebras for ternary algebras
, 2009 We construct an universal enveloping algebra associated to the ternary extension of Lie (super)algebras called Lie algebra of order three. A Poincar\'e-Birkhoff-Witt theorem is proven is this context.
de Traubenberg, M. Rausch, Goze, M.
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Towards higher-spin holography in flat space
Journal of High Energy Physics, 2023 We study the chiral flat space higher-spin algebra, which is the global symmetry algebra of the chiral higher-spin theory in the 4d Minkowski space. We find that it can be constructed as the universal enveloping algebra of a certain chiral deformation of
Dmitry Ponomarev
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Quantization of the Algebra of Chord Diagrams
, 1997 In this paper we define an algebra structure on the vector space $L(\Sigma)$ generated by links in the manifold $\Sigma \times [0,1]$ where $\Sigma $ is an oriented surface. This algebra has a filtration and the associated graded algebra $L_{Gr}(\Sigma)$
Andersen, Jørgen Ellegaard +2 more
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The Universal Askey-Wilson Algebra and DAHA of Type (C_1^∨,C_1)
Symmetry, Integrability and Geometry: Methods and Applications, 2013 Around 1992 A. Zhedanov introduced the Askey-Wilson algebra AW(3). Recently we introduced a central extension $Delta_q$ of AW(3) called the universal Askey-Wilson algebra.
Paul Terwilliger
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Modularizing the Elimination of r=0 in Kleene Algebra [PDF]
Logical Methods in Computer Science, 2005 Given a universal Horn formula of Kleene algebra with hypotheses of the form r = 0, it is already known that we can efficiently construct an equation which is valid if and only if the Horn formula is valid. This is an example of elimination of hypotheses,
Christopher Hardin
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ALGEBRAIC CONNECTIONS ON PARALLEL UNIVERSES [PDF]
International Journal of Modern Physics A, 1995 For any manifold M we introduce a ℤ-graded differential algebra Ξ, which, in particular, is a bimodule over the associative algebra C(M⋃M). We then introduce the corresponding covariant differentials and show how this construction can be interpreted in terms of Yang-Mills and Higgs fields. This is a particular example of noncommutative geometry.
Coquereaux, R. +2 more
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Strong Tolerance and Strong Universality of Interval Eigenvectors in a Max-Łukasiewicz Algebra
Mathematics, 2020 The Łukasiewicz conjunction (sometimes also considered to be a logic of absolute comparison), which is used in multivalued logic and in fuzzy set theory, is one of the most important t-norms.
Martin Gavalec +2 more
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Co-Poisson structures on polynomial Hopf algebras
, 2017 The Hopf dual $H^\circ$ of any Poisson Hopf algebra $H$ is proved to be a co-Poisson Hopf algebra provided $H$ is noetherian. Without noetherian assumption, it is not true in general.
Lou, Qi, Wu, QuanShui
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