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Vertex operators for twisted quantum affine algebras
Author(s):
Naihuan
Jing;
Kailash
C.
Misra
Journal:
Trans. Amer. Math. Soc.
351
(1999),
1663-1690.
MSC (1991):
Primary 17B37, 17B67;
Secondary 82B23, 81R10, 81R50
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Abstract:
We construct explicitly the -vertex operators (intertwining operators) for the level one modules of the classical quantum affine algebras of twisted types using interacting bosons, where for ( ), for , for ( ), and for ( ). A perfect crystal graph for is constructed as a by-product.
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Additional Information:
Naihuan
Jing
Affiliation:
Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695
Email:
jing@eos.ncsu.edu
Kailash
C.
Misra
Affiliation:
Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695
Email:
misra@math.ncsu.edu
DOI:
10.1090/S0002-9947-99-02098-X
PII:
S 0002-9947(99)02098-X
Keywords:
Quantum affine algebras,
$q$-vertex operators
Received by editor(s):
August 30, 1996
Received by editor(s) in revised form:
March 11, 1997
Additional Notes:
The first author is supported in part by NSA grants MDA 904-94-H-2061 and MDA 904-96-1-0087. The second author is supported in part by NSA grant MDA 904-96-1-0013.
Copyright of article:
Copyright
1999,
American Mathematical Society
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