A discrete group G is called rigidly symmetric if for every C*-algebra A the projective tensor product l(1)(G)(circle times) over capA is a symmetric Banach *-algebra. For such a group we show that the twisted crossed ...

In this survey, we first review some known results on the representationtheory of algebras with triangular decomposition, including the classification of the simple modules. We then discuss a recipe to construct Hopf ...

In this article we study in detail algebraic properties of the algebra D(W) of differential operators associated to a matrix weight of Gegenbauer type. We prove that two secondorder operators generate the algebra, indeed ...

A bivariate representation of a complex simple Lie algebra is an irreducible representation whose highest weight is given by a combination of the first two fundamental weights. For a complex classical Lie algebra, we ...

The finite-dimensional simple modules over the Drinfeld double of the bosonization of the Nichols algebra ufo(7) are classified.

An N (L L/2)-dimensional representation of the periodic Temperley-Lieb algebra TLL(x) is presented. It is also a representation of the cyclic group ZN. We choose x = 1 and define a Hamiltonian as a sum of the generators ...

Let (Formula presented.) be the Drinfeld double of the bosonization (Formula presented.)(V)(Formula presented.)G of a finite-dimensional Nichols algebra (Formula presented.)(V ) over a finite group G. It is known that the ...