Verma type modules of level zero for affine Lie algebras
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- by Viatcheslav Futorny
- Trans. Amer. Math. Soc. 349 (1997), 2663-2685
- DOI: https://doi.org/10.1090/S0002-9947-97-01957-0
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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.References
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Bibliographic 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