Results 41 to 50 of about 622,832 (86)

Quantum algebra of multiparameter Manin matrices [PDF]

Journal of Algebra, 2023
N. Jing, Yinlong Liu, Jian Zhang
semanticscholar   +1 more source

Remarks on topological algebras [PDF]

arXiv, 2007
The note complements topological aspects of the theory of chiral algebras.
arxiv  

Quantum group symmetry of integrable systems with or without boundary

, 2002
We present a construction of integrable hierarchies without or with boundary, starting from a single R-matrix, or equivalently from a ZF algebra. We give explicit expressions for the Hamiltonians and the integrals of motion of the hierarchy in term of ...
E. RAGOUCY, Mintchev M., Mintchev M., Sklyanin E.   +3 more
core   +2 more sources

Associating quantum vertex algebras to certain deformed Heisenberg Lie algebras [PDF]

arXiv, 2011
We associate quantum vertex algebras and their $\phi$-coordinated quasi modules to certain deformed Heisenberg algebras.
arxiv  

Star Product Geometries

, 2009
We consider noncommutative geometries obtained from a triangular Drinfeld twist. This allows to construct and study a wide class of noncommutative manifolds and their deformed Lie algebras of infinitesimal diffeomorphisms.
A. Connes, A. Connes, A. P. Balachandran, A. Sitarz, A. Tureanu, D. Gurevich, G. Landi, H. Grosse, J. C. Varilly, J. M. Gracia-Bondia, J. Wess, M. Gerstenhaber, P. Aschieri, P. Aschieri, P. Aschieri, P. Aschieri, P. Aschieri, P. P. Kulish, S. Doplicher, S. L. Woronowicz, V. G. Drinfeld, V. G. Drinfeld, W. Heisenberg   +22 more
core   +2 more sources

Quantum groups via Hall algebras of complexes [PDF]

arXiv, 2011
We describe quantum enveloping algebras of symmetric Kac-Moody Lie algebras via a finite field Hall algebra construction involving Z_2-graded complexes of quiver representations.
arxiv  

Drinfeld-Jimbo quantum Lie algebra [PDF]

, 2012
Quantum Lie algebras related to multi-parametric Drinfeld-Jimbo $R$-matrices of type $GL(m|n)$ are classified.
arxiv   +1 more source

Duality for Exotic Bialgebras

, 2001
In the classification of Hietarinta, three triangular $4\times 4$ $R$-matrices lead, via the FRT formalism, to matrix bialgebras which are not deformations of the trivial one.
A Chakrabarti, Abdesselam B, Abdesselam B, Abe E, Aghamohammadi A, Aizawa N, Aneva B L, Aneva B L, Ballesteros A, Ballesteros A, Ballesteros A, Burdik C, Carow-Watamura U, Chakrabarti A, Chakrabarti A, Chakrabarti A, Chakrabarti R, Chakrabarti R, D Arnaudon, Demidov E E, Dobrev V K, Dobrev V K, Dobrev V K, Dobrev V K, Dobrev V K, Ewen H, Faddeev L D, Fairlie D, Frappat L, Jacobs A D, Jagannathan R, Karimipour V, Kondratowicz P, Kupershmidt B A, Lyakhovsky V, Lyakhovsky V, Manin Yu I, Ogievetsky O, Ogievetsky O, Ohn C, Podles, S G Mihov, Schirrmacher A, Schmüdgen K, Schmüdgen K, Schwenk J, see also, Sudbery A, V K Dobrev, Vladimirov A A, Wess J, Zakrzewski S   +51 more
core   +3 more sources

Noncommutative Geometry and Gravity

, 2005
We study a deformation of infinitesimal diffeomorphisms of a smooth manifold. The deformation is based on a general twist. This leads to a differential geometry on a noncommutative algebra of functions whose product is a star-product.
Aschieri, Paolo, Dimitrijevic, Marija, Meyer, Frank, Wess, Julius   +3 more
core   +2 more sources

A covariant tapestry of linear GUP, metric-affine gravity, their Poincaré algebra and entropy bound [PDF]

Classical and quantum gravity
Motivated by the potential connection between metric-affine gravity and linear generalized uncertainty principle (GUP) in the phase space, we develop a covariant form of linear GUP and an associated modified Poincaré algebra, which exhibits distinctive ...
Ahmed Farag Ali, A. Wojnar
semanticscholar   +1 more source