un 1 99 6 Abstract carrier space formalism for the irreducible tensor operators of compact quantum group algebras

un 1 99 6 Irreducible tensor operators in the regular coaction formalisms of compact quantum group algebras

The defining conditions for the irreducible tensor operators associated with the unitary irreducible corepresentions of compact quantum group algebras are deduced first in both the right and left regular coaction formalisms. In each case it is shown that there are two types of irreducible tensor operator , which may be called 'ordinary' and 'twisted'. The consistency of the definitions is demon...

TENSOR OPERATORS AND WIGNER-ECKART THEOREM FOR THE QUANTUM SUPERALGEBRA Uq[osp(1 | 2)]

Tensor operators in graded representations of Z2−graded Hopf algebras are defined and their elementary properties are derived. WignerEckart theorem for irreducible tensor operators for Uq[osp(1 | 2)] is proven. Examples of tensor operators in the irreducible representation space of Hopf algebra Uq[osp(1 | 2)] are considered. The reduced matrix elements for the irreducible tensor operators are c...

Reiter’s Properties for the Actions of Locally Compact Quantum Goups on von Neumann Algebras

On the character space of vector-valued Lipschitz algebras

We show that the character space of the vector-valued Lipschitz algebra $Lip^{alpha}(X, E)$ of order $alpha$ is homeomorphic to the cartesian product $Xtimes M_E$ in the product topology, where $X$ is a compact metric space and $E$ is a unital commutative Banach algebra. We also characterize the form of each character on $Lip^{alpha}(X, E)$. By appealing to the injective tensor product, we the...

ar X iv : m at h / 99 08 06 2 v 1 [ m at h . Q A ] 1 3 A ug 1 99 9 Hecke Algebra Representations in Ideals Generated

It is a well known fact from the group theory that irreducible tensor representations of classical groups are suitably characterized by irreducible representations of the symmetric groups. However, due to their different nature, vector and spinor representations are only connected and not united in such description. Clifford algebras are an ideal tool with which to describe symmetries of multip...