volume 17, issue 5, P969-976 2010
DOI: 10.4310/mrl.2010.v17.n5.a13
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Abstract: Let I be a finite set and C{I} be the algebra of functions on I. For a finite dimensional C algebra A with C{I} ⊂ A we show that certain moduli spaces of finite dimsional modules are isomorphic to certain Grassmannian (quot-type) varieties. There is a special case of interest in representation theory. Lusztig defined two varieties related to a quiver and gave a bijection between their C-points, [4, Theorem 2.20]. Savage and Tingley raised the question [7, Remark 4.5] of whether these varieties are isomorphic …

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