• Media type: E-Article
  • Title: Certain components of Springer fibers and associated cycles for discrete series representations of π‘†π‘ˆ(𝑝,π‘ž)
  • Contributor: Barchini, L.; Zierau, R.
  • Published: American Mathematical Society (AMS), 2008
  • Published in: Representation Theory of the American Mathematical Society, 12 (2008) 16, Seite 403-434
  • Language: English
  • DOI: 10.1090/s1088-4165-08-00311-7
  • ISSN: 1088-4165
  • Keywords: Mathematics (miscellaneous)
  • Origination:
  • Footnote:
  • Description: An explicit geometric description of certain components of Springer fibers for S L ( n , C ) SL(n,C) s given in this article. These components are associated to closed S ( G L ( p ) Γ— G L ( q ) ) S(GL(p)\times GL(q)) -orbits in the flag variety. The geometric results are used to compute the associated cycles of the discrete series representations of S U ( p , q ) SU(p,q) . A discussion of an alternative, and more general, computation of associated cycles is given in the appendix.
  • Access State: Open Access