This work originated in an attempt to comprehend a striking likeness between representations and cohomology theories of some algebras, such ลฝ . ลฝ . as sl 2, C and its non-degenerated quantizations, modular sl 2 and ลฝ . degenerated quantizations of sl 2, C , Weyl algebra A , and others. As a
Weyl modules for p-singular weights
โ Scribed by W.J Wong
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 518 KB
- Volume
- 114
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Consider a semisimple, connected, simply-connected algebraic group G over an algebraically closed field k of characteristic p ) 0. One can ลฝ . construct for each dominant weight a Weyl module โฌ with that highest weight whose character is given by Weyl's character formula. ลฝ . ## ลฝ . Although not
It is shown that the results in Reiner and Shimozono J. Algebra 174 1995 , x 489แ522 have characteristic-free analogues for Weyl modules.
The submodule structure of Weyl modules for SL has been determined 3 w x ลฝ . w x in DS, I, K and by Cline unpublished . The main technique used in DS is an analysis of the intertwining homomorphisms between certain Weyl w x modules. The approach in I, K is essentially a direct calculation. Also, Jan