2002/10/21 by R. M. Green, Green, R. M.
Mathematics · #20C08 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:20C08
paper · pdf · doi:10.48550/arxiv.math/0210323
Around 29 pages, AMSTeX
arxiv created 2002/10/21 · arxiv updated 2009/11/30
We introduce cell modules for the tabular algebras defined in a previous work (math.QA/0107230); these modules are analogous to the representations arising from left Kazhdan--Lusztig cells. The standard modules of the title are constructed in an elementary way by suitable tensoring of the cell modules. We show how a certain extended affine Hecke algebra of type A equipped with its Kazhdan--Lusztig basis is an example of a tabular algebra, and verify that in this case our standard modules coincide with other standard modules defined in the literature.