Whittaker modules for Heisenberg algebras and imaginary Whittaker modules for affine Lie algebras
نویسندگان
چکیده
منابع مشابه
Whittaker Modules for Graded Lie Algebras
In this paper, we study Whittaker modules for graded Lie algebras. We define Whittaker modules for a class of graded Lie algebras and obtain a one to one correspondence between the set of isomorphic classes of Whittaker modules and the set of ideals of a polynomial ring, parallel to a result from the classical setting and the case of the Virasoro algebra. As a consequence of this, we obtain a c...
متن کاملWhittaker Modules for the Twisted Heisenberg-virasoro Algebra
We define Whittaker modules for the twisted Heisenberg-Virasoro algebra and obtain analogues to several results from the classical setting, including a classification of simple Whittaker modules by central characters.
متن کاملWhittaker Modules for a Lie Algebra of Block Type
In this paper, we study Whittaker modules for a Lie algebras of Block type. We define Whittaker modules and under some conditions, obtain a one to one correspondence between the set of isomorphic classes of Whittaker modules over this algebra and the set of ideals of a polynomial ring, parallel to a result from the classical setting and the case of the Virasoro algebra.
متن کاملImaginary Whittaker Modules for Extended Affine Lie Algebras Song Shi a Dissertation Submitted to the Faculty of Graduate Studies in Partial Fulfilment of the Requirements for the Degree of Doctor of Philosophy Graduate Program in Mathematics and Statistics
We classify irreducible Whittaker modules for generalized Heisenberg Lie algebra t and irreducible Whittaker modules for Lie algebra t̃ obtained by adjoining m degree derivations d1, d2, . . . , dm to t. Using these results, we construct imaginary Whittaker modules for non-twisted extended affine Lie algebras and prove that the imaginary Whittaker modules of Z-independent level are always irredu...
متن کاملOn certain categories of modules for affine Lie algebras
In this paper, we re-examine certain integrable modules of Chari-Presslely for an (untwisted) affine Lie algebra ĝ by exploiting basic formal variable techniques. We define and study two categories E and C of ĝ-modules using generating functions, where E contains evaluation modules and C unifies highest weight modules, evaluation modules and their tensor product modules, and we classify integra...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2008
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2008.06.025