Degenerate affine hecke algebras and Yangians
β Scribed by V. G. Drinfel'd
- Publisher
- Springer US
- Year
- 1986
- Tongue
- English
- Weight
- 250 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0016-2663
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π SIMILAR VOLUMES
In our recent papers the centralizer construction was applied to the series of Ε½ . classical Lie algebras to produce the quantum algebras called twisted Yangians. Ε½ . Here we extend this construction to the series of the symmetric groups S n . We Ε½ . study the ''stable'' properties of the centraliz
We construct a family of exact functors from the Bernstein αGelfandαGelfand category O O of α α -modules to the category of finite-dimensional representations of n the degenerate affine Hecke algebra H of GL . These functors transform Verma l l modules to standard modules or zero, and simple modules