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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles 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 1.48.

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Verma type modules of level zero for affine Lie algebras
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by Viatcheslav Futorny PDF
Trans. Amer. Math. Soc. 349 (1997), 2663-2685 Request permission

Abstract:

We study the structure of Verma type modules of level zero induced from non-standard Borel subalgebras of an affine Kac-Moody algebra. For such modules in “general position” we describe the unique irreducible quotients, construct a BGG type resolution and prove the BGG duality in certain categories. All results are extended to generalized Verma type modules of zero level.
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Additional Information
  • Viatcheslav Futorny
  • Affiliation: Department of Mathematics, Kiev University, Kiev, Ukraine 252033
  • MR Author ID: 238132
  • Email: futorny@uni-alg.kiev.ua
  • Received by editor(s): March 27, 1995
  • Additional Notes: This work was done during the author’s visit at the Department of Mathematics, Queen’s University, whose generous support is greatly appreciated
  • © Copyright 1997 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 349 (1997), 2663-2685
  • MSC (1991): Primary 17B67
  • DOI: https://doi.org/10.1090/S0002-9947-97-01957-0
  • MathSciNet review: 1422606