Results 81 to 90 of about 16,231 (186)
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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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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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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Highly Entangled Stationary States from Strong Symmetries
Physical Review XWe find that the presence of strong non-Abelian symmetries can lead to highly entangled stationary states even for unital quantum channels. We derive exact expressions for the bipartite logarithmic negativity, Rényi negativities, and operator space ...
Yahui Li +3 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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On Uq (sl2)-actions on the Quantum Plane
Acta Polytechnica, 2010 To give the complete list of Uq (sl2)-actions of the quantum plane, we first obtain the structure of quantum plane automorphisms. Then we introduce some special symbolic matrices to classify the series of actions using the weights.
S. Duplij, S. Sinel’shchikov
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