The Tensor Product of Representations of U_q(sl_2) Via Quivers

Details The Tensor Product of Representations of U_q(sl_2) Via Quivers The Tensor Product of Representations of U_q(sl_2) Via Quivers

2001-10-23

arxiv.org/abs/math/0110248v4

Adv. Math. 177 (2003), no. 2, 297-340

Mathematics

Algebraic Geometry

33 pages, 7 figures. v2: Ground field changed and some definitions modified. v3&4: Some minor errors corrected

Scientific paper

10.1016/S0001-8708(02)00066-X

Using the tensor product variety introduced by Malkin and Nakajima, the complete structure of the tensor product of a finite number of integrable highest weight modules of U_q(sl_2) is recovered. In particular, the elementary basis, Lusztig's canonical basis, and the basis adapted to the decomposition of the tensor product into simple modules are all exhibited as distiguished elements of certain spaces of invariant functions on the tensor product variety. For the latter two bases, these distinguished elements are closely related to the irreducible components of the tensor product variety. The space of intertwiners is also interpreted geometrically.

Affiliated with

Also associated with

No associations

Rating

The Tensor Product of Representations of U_q(sl_2) Via Quivers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Tensor Product of Representations of U_q(sl_2) Via Quivers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Tensor Product of Representations of U_q(sl_2) Via Quivers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-512174