Degenerate affine Hecke–Clifford algebras and typeQLie superalgebras
✍ Scribed by David Hill; Jonathan R. Kujawa; Joshua Sussan
- Publisher
- Springer-Verlag
- Year
- 2010
- Tongue
- French
- Weight
- 867 KB
- Volume
- 268
- Category
- Article
- ISSN
- 0025-5874
No coin nor oath required. For personal study only.
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In our recent papers the centralizer construction was applied to the series of Ž . classical Lie algebras to produce the quantum algebras called twisted Yangians. Ž . Here we extend this construction to the series of the symmetric groups S n . We Ž . study the ''stable'' properties of the centraliz
We construct a family of exact functors from the Bernstein ᎐Gelfand᎐Gelfand category O O of ᒐ ᒉ -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