Tensor products of Hecke algebras

Authors
Citation
F. Pan et Lr. Dai, Tensor products of Hecke algebras, COMM TH PHY, 31(1), 1999, pp. 113-120
Citations number
11
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN journal
02536102 → ACNP
Volume
31
Issue
1
Year of publication
1999
Pages
113 - 120
Database
ISI
SICI code
0253-6102(19990130)31:1<113:TPOHA>2.0.ZU;2-B
Abstract
Tensor product of irreducible representations of Hecke algebras are discuss ed. It is found that the tensor product of irreps of Hecke algebras generat es representations of Birman-Wenzl algebra C-f(r, q) with r = q(3) or -q(-3 ). A procedure fbr the evaluation of tensor product coefficients (TPC's) of H-f(q) circle H-f(q) down arrow C-f(r,q) is established when the represent ations of C-f (r, q) remain irreducible. An example of deriving TPC's of H- f(q) circle H-f (q) down arrow C-f (r, q) is given. It is also found that i ndecomposable representation of C-4(r, q) occurs in the tensor product [211 ] circle [31].