Premium
A geometric characterisation of the blocks of the Brauer algebra
Author(s) -
Cox Anton,
De Visscher Maud,
Martin Paul
Publication year - 2009
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdp039
Subject(s) - library science , kingdom , citation , square (algebra) , subject (documents) , mathematics , computer science , geometry , geology , paleontology
We give a geometric description of the blocks of the Brauer algebra in characteristic zero as orbits of the Weyl group of type D n . We show how the corresponding affine Weyl group controls the block decomposition of the Brauer algebra in positive characteristic, with orbits corresponding to unions of blocks.