Published September 1990 | Version v1
Journal article

Analysis of the basic matrix representation of GLq(2,C)

  • 1. California Univ., Berkeley (USA). Dept. of Physics
  • 2. Lawrence Berkeley Lab., CA (USA)
  • 3. Karlsruhe Univ. (T.H.) (Germany, F.R.). Inst. fuer Theoretische Physik

Description

We investigate the quantum deformation of the group of 2x2 matrices. We show that the n-th power of a quantum matrix corresponds to the n-th power of the deformation parameter. We also prove that a quantum matrix can be expressed as the exponential of a matrix with suitable non-commuting matrix elements. (orig.)

Additional details

Publishing Information

Journal Title
Zeitschrift fuer Physik, C
Journal Volume
48
Journal Issue
1
Series
Z. Phys., C.
Journal Page Range
65-74
ISSN
0170-9739
CODEN
ZPCFD

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
21084122
Subject category
S99: GENERAL AND MISCELLANEOUS;
Descriptors DEI
COMMUTATION RELATIONS; DEFORMATION; IRREDUCIBLE REPRESENTATIONS; LIE GROUPS; MATRICES; MATRIX ELEMENTS; QUANTIZATION; QUANTUM OPERATORS
Descriptors DEC
MATHEMATICAL OPERATORS; SYMMETRY GROUPS

Optional Information

Contract/Grant/Project number
Contract DE-AC03-76SF00098; Grant PHY-85-15857