Schubert Quiver Grassmannians
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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A Schubert class σ in the cohomology of a homogeneous variety X is called rigid if the only projective subvarieties of X representing σ are Schubert varieties. A Schubert class σ is called multi rigid if the only projective subvarieties representing positive integral multiples of σ are unions of Schubert varieties. In this paper, we discuss the rigidity and multi rigidity of Schubert classes in...
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Let X = Gr(k, V ) × Gr(l, V ) be the direct product of two Grassmann varieties of kand l-planes in a finite-dimensional vector space V , and let B ⊂ GL(V ) be the isotropy group of a complete flag in V . One can consider B-orbits in X in analogy with Schubert cells in Grassmannians. We describe this set of orbits combinatorially and construct desingularizations for the closures of these orbits,...
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Abstract. We deduce using the Ringel-Hall algebra approach explicit formulas for the cardinalities of some Grassmannians over a finite field associated to the Kronecker quiver. We realize in this way a quantification of the formulas obtained by Caldero and Zelevinsky for the Euler characteristics of these Grassmannians. We also present a recursive algorithm for computing the cardinality of ever...
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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: Algebras and Representation Theory
سال: 2016
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-016-9634-3