19 research outputs found
Roots of Unity: Representations of Quantum Groups
Representations of Quantum Groups U_q (g_n), g_n any semi simple Lie algebra
of rank n, are constructed from arbitrary representations of rank n-1 quantum
groups for q a root of unity. Representations which have the maximal dimension
and number of free parameters for irreducible representations arise as special
cases.Comment: 23 page
On -model in Chiral Potts Model and Cyclic Representation of Quantum Group
We identify the precise relationship between the five-parameter
-family in the -state chiral Potts model and XXZ chains with
-cyclic representation. By studying the Yang-Baxter relation of the
six-vertex model, we discover an one-parameter family of -operators in terms
of the quantum group . When is odd, the -state
-model can be regarded as the XXZ chain of
cyclic representations with . The symmetry algebra of the
-model is described by the quantum affine algebra via the canonical representation. In general for an arbitrary
, we show that the XXZ chain with a -cyclic representation for
is equivalent to two copies of the same -state
-model.Comment: Latex 11 pages; Typos corrected, Minor changes for clearer
presentation, References added and updated-Journal versio
Quasitriangularity of quantum groups at roots of 1
An important property of a Hopf algebra is its quasitriangularity and it is
useful various applications. This property is investigated for quantum groups
at roots of 1. It is shown that different forms of the quantum group
at roots of 1 are either quasitriangular or have similar structure which
will be called autoquasitriangularity. In the most interesting cases this
property means that "braiding automorphism" is a combination of some Poisson
transformation and an adjoint transformation with certain element of the tensor
square of the algebra.Comment: 23 page
Hodnocení marketingového mixu Palace Cinemas
Práce analyzuje a hodnotí marketingový mix pražských poboček Palace Cinemas, jednoho z provozovatelů multikin v České republice. Na základě teoretických poznatků z oboru marketingu rozebírá jednotlivé složky marketingového mixu společnosti. Jedná se především o rozbor produktu, cenové politiky, umístění provozoven, jednotlivých složek komunikačního mixu, analýzu materiálního prostředí, lidí a procesů. Součástí práce jsou i výsledky ankety, která byla vyhotovena, aby její výsledky pomohly při hodnocení některých marketingových postupů