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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Vertex operators for twisted quantum affine algebras
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by Naihuan Jing and Kailash C. Misra PDF
Trans. Amer. Math. Soc. 351 (1999), 1663-1690 Request permission

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
  • MR Author ID: 232836
  • Email: jing@eos.ncsu.edu
  • Kailash C. Misra
  • Affiliation: Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695
  • MR Author ID: 203398
  • Email: misra@math.ncsu.edu
  • 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 1999 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 351 (1999), 1663-1690
  • MSC (1991): Primary 17B37, 17B67; Secondary 82B23, 81R10, 81R50
  • DOI: https://doi.org/10.1090/S0002-9947-99-02098-X
  • MathSciNet review: 1458306