Generators of the Hecke algebra of (S-2n, B-n)

Aker K., Can M. B.

ADVANCES IN MATHEMATICS, cilt.231, sa.5, ss.2465-2483, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 231 Sayı: 5
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.aim.2012.07.023
  • Dergi Adı: ADVANCES IN MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2465-2483
  • Anahtar Kelimeler: Hecke algebra, Farahat Higman ring, Jucys-Murphy elements, Symmetric pair (S-2n, B-n), Cohomology of Hilbert scheme of points, COHOMOLOGY, CONSTRUCTION, RING
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

In analogy with the set of Jucys-Murphy elements, a set of ring generators for the Hecke algebra of the Gel' fand pair (S-2n, B-n), where B-n is the hyperoctahedral subgroup of the symmetric group S-2n is constructed. Various consequences are presented, a conjecture of S. Matsumoto is proven. (c) 2012 Elsevier Inc. All rights reserved.