Abstract
We construct a family of exact functors from the Bernstein-Gelfand-Gelfand category O of sln-modules to the category of finite-dimensional representations of the degenerate affine Hecke algebraHlofGLl. These functors transform Verma modules to standard modules or zero, and simple modules to simple modules or zero. Any simpleHl-module can be thus obtained.
| Original language | English |
|---|---|
| Pages (from-to) | 288-304 |
| Number of pages | 17 |
| Journal | Journal of Algebra |
| Volume | 209 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Nov 1 1998 |
| Externally published | Yes |
ASJC Scopus subject areas
- Algebra and Number Theory
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Cite this
Arakawa, T., & Suzuki, T. (1998). Duality between sln(C) and the Degenerate Affine Hecke Algebra. Journal of Algebra, 209(1), 288-304. https://doi.org/10.1006/jabr.1998.7530