We give a complete classification of finite-dimensional simple Novikov algebras and their irreducible modules over an algebraically closed field with prime characteristic. Moreover, we introduce ''NovikovαPoisson algebras'' and their tensor theory. Our tensor theory enables us to understand better c
On Dual Pairs and Simple-Injective Modules
β Scribed by Mari Morimoto; Takeshi Sumioka
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 148 KB
- Volume
- 226
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
We introduce a tensor category O O resp. O O of certain modules of gl with q y Ο± Ε½ . nonnegative resp. nonpositive integral central charges with the usual tensor Ε½ . product. We also introduce a tensor category O O , αͺ consisting of certain modules f Ε½ . over GL N for all N. We show that the tensor
## B as a modular constituent with non-zero multiplicity. This result suggests that we should investigate the decomposition modulo 2 of the irreducible characters in 1 G when G is a group of Lie type of odd characteristic and B see which real-valued irreducible Brauer characters occur as constitue