On the universalR-matrix for Uq(241-1241-1241-1)

Iotov, Mihail; Todorov, Ivan

doi:10.1007/bf01885502

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U Q : Definition R-matrix Exchange Operator1

Introduction1

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1993

1995

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Cited by 2 publications

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“…In this synopsis on the Hopf algebra (3.2) we mostly follow the notation and conventions of Ref. [11].…”

Section: U Q : Definition R-matrix Exchange Operatormentioning

confidence: 99%

See 1 more Smart Citation

SU3 coherent state operators and invariant correlation functions and their quantum group counterparts

Sazdjian

Stanev

Todorov

1995

Journal of Mathematical Physics

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Coherent state operators (CSO) 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. CSO provide an analytic tool for studying G invaraiant 2and 3-point functions, which are written down in the case of SU 3 . The quantum group deformation of the construction gives rise to a non-commutative coset space. We introduce a "standard" polynomial basis in this space (related to but not identical with the Lusztig canonical basis) which is appropriate for writing down U q (sℓ 3 ) 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 Poncaré-Birkhoff-Witt type basis.

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“…In this synopsis on the Hopf algebra (3.2) we mostly follow the notation and conventions of Ref. [11].…”

Section: U Q : Definition R-matrix Exchange Operatormentioning

confidence: 99%

“…The next step, the identification of a quantum Borel subgroup B q and of the corresponding q-coset space SL q (n)/B q , has also been sketched for an arbitrary n -see Ref. [11]. In order to avoid unnecessary complications and bulky formulae we restrict from the outset attention to the case n = 3.…”

Section: Introductionmentioning

confidence: 99%