scholarly journals Vector generation functions, q-spectral functions of hyperbolic geometry, and vertex operators for quantum affine algebras

2017 ◽  
Vol 58 (12) ◽  
pp. 121701 ◽  
Author(s):  
A. A. Bytsenko ◽  
M. Chaichian ◽  
R. Luna
Keyword(s):  
Hyperbolic Geometry ◽  
Vertex Operators ◽  
Spectral Functions ◽  
Quantum Affine Algebras ◽  
Vector Generation ◽  
Affine Algebras

scholarly journals STRUCTURE OF THE SPACE OF STATES IN RSOS MODELS

1993 ◽  
Vol 08 (08) ◽  
pp. 1457-1477 ◽  
Author(s):  
MICHIO JIMBO ◽  
TETSUJI MIWA ◽  
YASUHIRO OHTA
Keyword(s):  
Vertex Operators ◽  
Quantum Affine Algebras ◽  
Vertex Models ◽  
Commutation Relations ◽  
Solid Models ◽  
Affine Algebras ◽  
Local Operators ◽  
The Creation ◽  
Rsos Models

The restricted solid-on-solid models in the antiferromagnetic regime are studied in the framework of quantum affine algebras. Following the line developed recently for vertex models, a representation-theoretical picture is presented for the structure of the space of states. The local operators and the creation/annihilation operators of quasiparticles are defined using vertex operators, and their commutation relations are calculated.

Quantum affine algebras

1991 ◽  
Vol 142 (2) ◽  
pp. 261-283 ◽  
Author(s):  
Vyjayanthi Chari ◽  
Andrew Pressley
Keyword(s):  
Quantum Affine Algebras ◽  
Affine Algebras

Standard modules of quantum affine algebras

2002 ◽  
Vol 111 (3) ◽  
pp. 509-533 ◽  
Author(s):  
E. Vasserot ◽  
M. Varagnolo
Keyword(s):  
Quantum Affine Algebras ◽  
Affine Algebras
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