Add to ORKGWe study the representations of the quantum Galilei group with dimensional deformation parameter. A suitable induction procedure obtained by means of a canonical revisitation of the coadjoint orbit method allows to determine the irreducible representations and to establish their unitarity with respect to a *-Hopf algebra structure and an appropriate inner product. Tensor product representations are obtained by the use of the coalgebra operations. The peculiar aspects connected with their unitarity and the comparison with the classical situation are widely discussed
(so3) is demonstrated. The approach presented here is successful in other cases of quantum algebras ...
I review and illustrate applications of explicit functionals we have found which map SU(2) algebra g...
We propose a (first) simple natural model of a non-finitely generated braided non-commutative Hopf ...
We study the representations of the quantum Galilei group by a suitable generalization of the Kirill...
This thesis consists of two main parts. The first part focuses on the (1+1) and (2+1) dimensional Ga...
We discuss quantum deformations of Lie algebra as described by the noncoassociative modification of ...
AbstractThe basic elements of Galois theory for algebraic quantum groups were given in the paper ‘Ga...
AbstractConstructions are described which associate algebras to arbitrary bilinear forms, generalisi...
The first part of this thesis deals with certain properties of the quantum symmetric and exterior al...
Instead of zero tending parameters of Wigner–Inönu ̈ our approach to a group contractions is based ...
In our earlier work, we constructed a specific non-compact quantum group whose quantum grou...
In previous papers we have shown that the one mode Heisenberg algebra Heis(1) admits a unique non-tr...
For $\g=sl(n)$ we construct a two parametric $U_h(\g)$-invariant family of algebras, $(S\g)_{t,h}$, ...
In this thesis, we study the Galilean limit of gravity in 2+1 dimensions and give the necessary ing...
The category of finite dimensional modules over the quantum superalgebra Uq(2|1) is not semi-simple ...
(so3) is demonstrated. The approach presented here is successful in other cases of quantum algebras ...
I review and illustrate applications of explicit functionals we have found which map SU(2) algebra g...
We propose a (first) simple natural model of a non-finitely generated braided non-commutative Hopf ...
We study the representations of the quantum Galilei group by a suitable generalization of the Kirill...
This thesis consists of two main parts. The first part focuses on the (1+1) and (2+1) dimensional Ga...
We discuss quantum deformations of Lie algebra as described by the noncoassociative modification of ...
AbstractThe basic elements of Galois theory for algebraic quantum groups were given in the paper ‘Ga...
AbstractConstructions are described which associate algebras to arbitrary bilinear forms, generalisi...
The first part of this thesis deals with certain properties of the quantum symmetric and exterior al...
Instead of zero tending parameters of Wigner–Inönu ̈ our approach to a group contractions is based ...
In our earlier work, we constructed a specific non-compact quantum group whose quantum grou...
In previous papers we have shown that the one mode Heisenberg algebra Heis(1) admits a unique non-tr...
For $\g=sl(n)$ we construct a two parametric $U_h(\g)$-invariant family of algebras, $(S\g)_{t,h}$, ...
In this thesis, we study the Galilean limit of gravity in 2+1 dimensions and give the necessary ing...
The category of finite dimensional modules over the quantum superalgebra Uq(2|1) is not semi-simple ...
(so3) is demonstrated. The approach presented here is successful in other cases of quantum algebras ...
I review and illustrate applications of explicit functionals we have found which map SU(2) algebra g...
We propose a (first) simple natural model of a non-finitely generated braided non-commutative Hopf ...