Indecomposable finite-dimensional representations of a class of Lie algebras and Lie superalgebras [PDF]
, 2011 In the article at hand, we sketch how, by utilizing nilpotency to its fullest extent (Engel, Super Engel) while using methods from the theory of universal enveloping algebras, a complete description of the indecomposable representations may be reached ...
G Cassinelli +5 more
core +1 more source
Cohomology of Lie superalgebras and their generalizations [PDF]
, 1997 The cohomology groups of Lie superalgebras and, more generally, of e Lie algebras, are introduced and investigated. The main emphasis is on the case where the module of coefficients is nontrivial.
M. Scheunert, R. Zhang
semanticscholar +1 more source
Twists of quantum groups and noncommutative field theory [PDF]
, 2006 We discuss the role of quantum universal enveloping algebras of symmetries in constructing the noncommutative geometry of space-time and the corresponding field theory.
P. Kulish
semanticscholar +1 more source
Euclidean and super Euclidean algebras and Localizations of Uq((2)) and Uq((1|2))
, 2014 In Ref. 1 we described homomorphisms of Uq((2)) and U((2)) into localizations of U((2)) and Uq((2)), respectively, with U((2)) being the universal enveloping algebra of the Lie algebra of SO(2) × sT2 the Euclidean group in the plane, with T2 denoting ...
P. Moylan
semanticscholar +1 more source
Deformed Twistors and Higher Spin Conformal (Super-)Algebras in Six Dimensions [PDF]
, 2013 Massless conformal scalar field in six dimensions corresponds to the minimal unitary representation (minrep) of the conformal group SO(6,2). This minrep admits a family of deformations labelled by the spin t of an SU(2)_T group, which is the 6d analog of
Govil, Karan, Gunaydin, Murat
core +5 more sources
Hopf Structure and Green Ansatz of Deformed Parastatistics Algebras [PDF]
, 2005 Deformed parabose and parafermi algebras are revised and endowed with Hopf structure in a natural way. The noncocommutative coproduct allows for construction of parastatistics Fock-like representations, built out of the simplest deformed bose and ...
Boyka Aneva +12 more
core +2 more sources
Representation Theory of Quantized Poincare Algebra. Tensor Operators and Their Application to One-Partical Systems [PDF]
, 1994 A representation theory of the quantized Poincar\'e ($\kappa$-Poincar\'e) algebra (QPA) is developed. We show that the representations of this algebra are closely connected with the representations of the non-deformed Poincar\'e algebra.
A. Nowicki +17 more
core +3 more sources
Universal Enveloping Algebras of Lie Antialgebras
, 2010 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.
Leidwanger, Séverine +1 more
core +1 more source
Representation theory of super Yang-Mills algebras [PDF]
, 2011 We study in this article the representation theory of a family of super algebras, called the \emph{super Yang-Mills algebras}, by exploiting the Kirillov orbit method \textit{\`a la Dixmier} for nilpotent super Lie algebras.
A. Connes +22 more
core +2 more sources
Superalgebras, constraints and partition functions [PDF]
, 2015 We consider Borcherds superalgebras obtained from semisimple finite-dimensional Lie algebras by adding an odd null root to the simple roots. The additional Serre relations can be expressed in a covariant way. The spectrum of generators at positive levels
Cederwall, Martin, Palmkvist, Jakob
core +3 more sources