Periodic modules and quantum groups

Details Periodic modules and quantum groups Periodic modules and quantum groups

2002-11-27

arxiv.org/abs/math/0211437v3

Mathematics

Representation Theory

final version, to appear in "transform. groups"

Scientific paper

We prove that the elements $A_\leq$ defined by Lusztig in a completion of the
periodic module actually live in the periodic module, in the type A case. In
order to prove this, we compare, using Schur duality, these elements with the
Kashiwara canonical basis of an integrable module.

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