Quiver grassmannians, quiver varieties and the preprojective algebra
نویسندگان
چکیده
منابع مشابه
Quiver Grassmannians, Quiver Varieties and the Preprojective Algebra
Quivers play an important role in the representation theory of algebras, with a key ingredient being the path algebra and the preprojective algebra. Quiver grassmannians are varieties of submodules of a fixed module of the path or preprojective algebra. In the current paper, we study these objects in detail. We show that the quiver grassmannians corresponding to submodules of certain injective ...
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We construct Nakajima’s quiver varieties of type A in terms of conjugacy classes of matrices and (non-Slodowy’s) transverse slices naturally arising from affine Grassmannians. In full generality quiver varieties are embedded into Beilinson-Drinfeld Grassmannians of type A. Our construction provides a compactification of Nakajima’s quiver varieties and a decomposition of an affine Grassmannian i...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2011
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2011.251.393