Quiver varieties and fusion products for sl_2

Details Quiver varieties and fusion products for sl_2 Quiver varieties and fusion products for sl_2

2002-05-27

arxiv.org/abs/math/0205286v2

Journal of Algebra 269 (2003), p. 544-555

Mathematics

Quantum Algebra

11 pages, Latex. v2: Some minor typos corrected

Scientific paper

10.1016/S0021-8693(03)00414-9

We construct the fusion product of finite-dimensional sl_2-modules in the homology of (or in the space of constructible functions on) a certain subvariety L_l(w_1, ..., w_r) of Nakajima's tensor product variety L(w_1,..., w_r). We also give a combinatorial description of the irreducible components of this subvariety using the notions of graphical calculus and crossingless matches for sl_2.

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