Results 81 to 90 of about 16,242 (186)
Universal Enveloping Algebras of Braided m-Lie Algebras
, 2010 9pages
Guo, Lingwei +2 more
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PBW Basis of Quantized Universal Enveloping Algebras
Publications of the Research Institute for Mathematical Sciences, 1994 Let \(U_ q= U_ q({\mathfrak g})\) be the quantized universal enveloping algebra of the Lie algebra \({\mathfrak g}\) and \(U_ q^ +\) (resp. \(U_ q^ -\)) be the subalgebra generated by \(e_ i\)'s (resp. \(f_ i\)'s). \textit{G. Lusztig} constructed, by using his PBW base, the canonical base of \(U_ q^ -\) in the case \({\mathfrak g}\) is a finite ...
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Universal enveloping algebras of differential graded Poisson algebras
, 2014 37 pages, the abstract is rewritten, another construction of the universal enveloping algebra is given and several typos are ...
Lü, Jiafeng +2 more
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Deformation Quantization of Poisson Structures Associated to Lie Algebroids
Symmetry, Integrability and Geometry: Methods and Applications, 2009 In the present paper we explicitly construct deformation quantizations of certain Poisson structures on E*, where E → M is a Lie algebroid. Although the considered Poisson structures in general are far from being regular or even symplectic, our ...
Nikolai Neumaier, Stefan Waldmann
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From Quantum AN to E8 Trigonometric Model: Space-of-Orbits View
Symmetry, Integrability and Geometry: Methods and Applications, 2013 A number of affine-Weyl-invariant integrable and exactly-solvable quantum models with trigonometric potentials is considered in the space of invariants (the space of orbits).
Alexander V. Turbiner
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Crystalizing theq-analogue of universal enveloping algebras
Communications in Mathematical Physics, 1990 Let \(U_ q\) denote the quantized enveloping algebra over \({\mathbb{Q}}(q)\) associated to a symmetrizable Kac-Moody algebra \({\mathfrak g}\). For any integrable \(U_ q\)-module M the author defines a crystal base for M to be a pair (L,B) consisting of a lattice L of M and a \({\mathbb{Q}}\)-basis B of L/qL with certain nice properties.
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SU_2 Nonstandard Bases: Case of Mutually Unbiased Bases
Symmetry, Integrability and Geometry: Methods and Applications, 2007 This paper deals with bases in a finite-dimensionalHilbert space. Such a~space can be realized as a subspace of therepresentation space of SU$_2$ corresponding to an irreduciblerepresentation of SU$_2$.
Olivier Albouy, Maurice R. Kibler
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Higher-spin Poisson sigma models and holographic duality for SYK models
Journal of High Energy PhysicsSYK models provide an interesting playground for exploring the AdS 2/CFT 1 correspondence. We focus on a class of SYK models that exhibit higher-spin symmetry, whose gravity sector is described by a BF theory generalizing Jackiw-Teitelboim gravity to ...
Xavier Bekaert +2 more
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Universal enveloping algebras for Malcev color algebras
, 2015 In this paper we give a construction of the universal enveloping algebra of a Malcev algebra in categories of group algebra comodules with a symmetry given by a bicharacter of the group. A particular example of such categories is the category of super vector spaces.
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Cayley-Klein Lie Algebras and Their Quantum Universal Enveloping Algebras
, 1994 7 pages, AMS-TEX file, UVA/93 ...
Ballesteros, A. +3 more
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