ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
Coherent state operators (CSOs) are defined as operator valued functions on G=SL(n,C) being homogeneous with respect to right multiplication by lower triangular matrices. They act on a model space containing all holomorphic finite dimensional representations of G with multiplicity 1. CSOs provide an analytic tool for studying G invariant 2- and 3-point functions, which are written down in the case of SU3. The quantum group deformation of the construction gives rise to a noncommutative coset space. A "standard'' polynomial basis is introduced in this space (related to but not identical with the Lusztig canonical basis) that is appropriate for writing down Uq(sl3) invariant 2-point functions for representations of the type (λ,0) and (0,λ). General invariant 2-point functions are written down in a mixed Poincaré–Birkhoff–Witt type basis. © 1995 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.531100
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