Rock blocks

Research output: Book/ReportBook

13 Citations (Scopus)

Abstract

Consider representation theory associated to symmetric groups, or to Hecke algebras in type A, or to q-Schur algebras, or to finite general linear groups in non-describing characteristic. Rock blocks are certain combinatorially defined blocks appearing in such a representation theory, first observed by R. Rouquier. Rock blocks are much more symmetric than general blocks, and every block is derived equivalent to a Rock block. Motivated by a theorem of J. Chuang and R. Kessar in the case of symmetric group blocks of abelian defect, we pursue a structure theorem for these blocks.
Original languageEnglish
PublisherAmerican Mathematical Society
Number of pages106
Volume202
ISBN (Print)9780821844625
DOIs
Publication statusPublished - Nov 2009

Publication series

NameMemoirs of the American Mathematical Society
PublisherAmerican Mathematical Society
No.947
Volume202
ISSN (Print)0065-9266

Fingerprint

Representation Theory
Symmetric group
Schur Algebras
General Linear Group
Hecke Algebra
Structure Theorem
Defects
Theorem

Keywords

  • hog eye
  • latch key
  • master
  • opener
  • passkey
  • screw
  • skeleton
  • twister

Cite this

Turner, W. (2009). Rock blocks. (Memoirs of the American Mathematical Society; Vol. 202, No. 947). American Mathematical Society. https://doi.org/10.1090/S0065-9266-09-00562-6

Rock blocks. / Turner, W.

American Mathematical Society, 2009. 106 p. (Memoirs of the American Mathematical Society; Vol. 202, No. 947).

Research output: Book/ReportBook

Turner, W 2009, Rock blocks. Memoirs of the American Mathematical Society, no. 947, vol. 202, vol. 202, American Mathematical Society. https://doi.org/10.1090/S0065-9266-09-00562-6
Turner W. Rock blocks. American Mathematical Society, 2009. 106 p. (Memoirs of the American Mathematical Society; 947). https://doi.org/10.1090/S0065-9266-09-00562-6
Turner, W. / Rock blocks. American Mathematical Society, 2009. 106 p. (Memoirs of the American Mathematical Society; 947).
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