Degenerate Affine Hecke-clifford Algebras and Type Q Lie Superalgebras

@inproceedings{Kujawa2009DegenerateAH,
  title={Degenerate Affine Hecke-clifford Algebras and Type Q Lie Superalgebras},
  author={Jonathan R. Kujawa and Joshua Sussan},
  year={2009}
}
We construct the finite dimensional simple integral modules for the (degenerate) affine Hecke-Clifford algebra (AHCA), H aff Cℓ (d). Our construction includes an analogue of Zelevin-sky's segment representations, a complete combinatorial description of the simple calibrated H aff Cℓ (d)-modules, and a classification of the simple integral H aff Cℓ (d)-modules. Our main tool is an analogue of the Arakawa-Suzuki functor for the Lie superalgebra q(n). 

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References

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Showing 1-10 of 55 references

Linear and Projective Representations of Symmetric Groups

  • A Kleshchev
  • Linear and Projective Representations of…
  • 2005
Highly Influential
8 Excerpts

Crystals of Type A (2) 2l and Modular Branching Rules for b Sn

  • Hecke-Clifford Superalgebras
  • Crystals of Type A (2) 2l and Modular Branching…
Highly Influential
5 Excerpts

Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra q(n), Adv. in Math

  • J Brundan
  • Kazhdan-Lusztig polynomials and character…
  • 2004
Highly Influential
5 Excerpts

Quantized Universal Enveloping Superalgebra of type Q and a Super-Extension of the Hecke Algebra

  • G I Olshanski
  • Letters in Mathematical Physics
  • 1992
Highly Influential
1 Excerpt

Tensor algebra of the identity representation as a module over the Lie superalgebras GL(n, m) and Q(n)

  • A N Sergeev
  • Math. USSR Sbornik
  • 1985
Highly Influential
2 Excerpts

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