Inverse limits in representations of a restricted Lie algebra
โ Scribed by Yu Feng Yao, Bin Shu, Yi Yang Li
- Book ID
- 118792078
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2012
- Tongue
- English
- Weight
- 254 KB
- Volume
- 28
- Category
- Article
- ISSN
- 1439-7617
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๐ SIMILAR VOLUMES
Let F be a field of characteristic p ) 0, L a generalized restricted Lie algebra ลฝ . over F, and P L the primitive p-envelope of L. A close relation between ลฝ . L-representations and P L -representations is established. In particular, the irreducible -reduced modules of L for any g L\* coincide with
Let \(L\) be any one of \(W(n, 1), S(n, 1), H(n, 1)\), and \(K(n, 1)\) over an algebraically closed field \(F\) of characteristic \(p>3\). In this paper, we extend the results concerning modular representations of classical Lie algebras and semisimple groups to the case of \(L\) and obtain some prop