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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Vertex operators for
twisted quantum affine algebras


Authors: Naihuan Jing and Kailash C. Misra
Journal: Trans. Amer. Math. Soc. 351 (1999), 1663-1690
MSC (1991): Primary 17B37, 17B67; Secondary 82B23, 81R10, 81R50
MathSciNet review: 1458306
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Abstract | References | Similar Articles | Additional Information

Abstract: We construct explicitly the $q$-vertex operators (intertwining operators) for the level one modules $V(\Lambda _i)$ of the classical quantum affine algebras of twisted types using interacting bosons, where $i=0, 1$ for $A_{2n-1}^{(2)}$ ($n\geq 3$), $i=0$ for $D_4^{(3)}$, $i=0, n$ for $D_{n+1}^{(2)}$ ($n\geq 2$), and $i=n$ for $A_{2n}^{(2)}$ ($n\geq 1$). A perfect crystal graph for $D_4^{(3)}$ 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: http://dx.doi.org/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.
Article copyright: © Copyright 1999 American Mathematical Society