• 1
  • 1
  • 6
  • 5
  • 6
  • 3
  • 4

“School of Physic”

Back to Papers Home
Back to Papers of School of Physic

Paper   IPM / Physic / 6485
School of Physics
  Title:   Representation of the Coordinatering of GLq(3)
  Author(s):  V. Karimipour
  Status:   Published
  Journal: Lett. Math. Phys.
  No.:  35
  Vol.:  28
  Year:  1993
  Pages:   207-217
  Supported by:  IPM
  Abstract:
It is shown that the finite dimensional ireducible representations of the quantum matrix algebra Mq(3) ( the coordinate ring of GLq(3) ) exist only when q is a root of unity ( qp = 1 ). The dimensions of these representations can only be one of the following values: p3 , [( p3)/2 ] , [( p3)/4 ] or [( p3)/8 ] . The topology of the space of states ranges between two extremes , from a 3-dimensional torus S1 ×S1 ×S1 ( which may be thought of as a generalization of the cyclic representation ) to a 3-dimensional cube [ 0 , 1 ]×[ 0 , 1 ]×[ 0 , 1 ] .

Download TeX format
back to top
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
scroll left or right