Results 41 to 48 of about 215 (48)

Kitaev lattice model for bicrossproduct Hopf algebras and tensor network representation

, 2019
Kitaev's lattice models are usually defined as representations of the Drinfeld quantum double. We propose a new version based on Majid's bicrossproduct quantum group.
Girelli, Florian, Osei, Prince K., Osumanu, Abdulmajid   +2 more
core   +1 more source

Distinguished Pre-Nichols algebras [PDF]

, 2014
We formally define and study the distinguished pre-Nichols algebra $\widetilde{\mathcal{B}}(V)$ of a braided vector space of diagonal type $V$ with finite-dimensional Nichols algebra $\mathcal{B}(V)$. The algebra $\widetilde{\mathcal{B}}(V)$ is presented
Angiono, Ivan
core  

Alternated Hochschild Cohomology

, 2011
23 pagesIn this paper we construct a graded Lie algebra on the space of cochains on a $\mathbbZ_2$-graded vector space that are skew-symmetric in the odd variables.
Lecomte, Pierre,, Ovsienko, Valentin
core   +3 more sources

Hopf algebras and finite tensor categories in conformal field theory [PDF]

, 2010
In conformal field theory the understanding of correlation functions can be divided into two distinct conceptual levels: The analytic properties of the correlators endow the representation categories of the underlying chiral symmetry algebras with ...
Fuchs, Jurgen, Schweigert, Christoph
core  

Lie Algebras and Braided Geometry

, 1993
We show that every Lie algebra or superLie algebra has a canonical braiding on it, and that in terms of this its enveloping algebra appears as a flat space with braided-commuting coordinate functions.
Majid, Shahn
core   +1 more source

Noncommutative spaces with twisted symmetries and second quantization

, 2010
In a minimalistic view, the use of noncommutative coordinates can be seen just as a way to better express non-local interactions of a special kind: 1-particle solutions (wavefunctions) of the equation of motion in the presence of an external field may ...
Fiore, Gaetano
core  

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Universal Enveloping Algebras of Lie Antialgebras

2009
Lie antialgebras is a class of supercommutative algebras recently appeared in symplectic geometry. We define the notion of enveloping algebra of a Lie antialgebra and study its properties. We show that every Lie antialgebra is canonically related to a Lie superalgebra and prove that its enveloping algebra is a quotient of the enveloping algebra of the ...
Leidwanger, S��verine, Morier-Genoud, Sophie   +1 more
openaire   +1 more source

Cohomology and deformation of Lie superalgebras and representation of Lie antialgebras

2020
p.
Saidi, Soumaya, Basdouri, Imed
openaire   +1 more source