Representations with minimal support for quantized Gieseker varieties
نویسندگان
چکیده
We study the minimally supported representations of quantizations Gieseker moduli spaces. relate them to $${\text {SL}}_n$$ -equivariant D-modules on nilpotent cone $$\mathfrak {sl}_n$$ and type A rational Cherednik algebras. Our main result is character formulas for quantized
منابع مشابه
The quantum dilogarithm and representations of quantized cluster varieties
To David Kazhdan for his 60th birthday " Loxadь sostoit iz trh neravnyh polovin ". 4 The quantum dilogarithm and its properties 26 4.1 The quantum logarithm function and its properties. . 1 " A horse consists of three unequal halves ". cf. A. de Barr, Horse doctor. Moscow 1868. Cluster varieties [FG2] are relatives of cluster algebras [FZI]. Cluster modular groups act by automor-phisms of clust...
متن کاملTensoring with Small Quantized Representations
We give an elementary proof of the associativity of the reduced tensor product that also works for primitive roots of At the same time we get a useful understanding of how representations fuse into each other
متن کاملQuantized Quiver Varieties
1.1. General formalism and basic examples. Let A = ⊕ i>0Ai be a graded algebra equipped with a Poisson bracket {·, ·} that has degree −1 because {Ai, Aj} ⊂ Ai+j−1. By a quantization of A one means a pair (A, ι), where • A is a filtered associative unital algebra A = ∪ i>0 A6i. • ι : grA → A is an isomorphism of graded Poisson algebras. Recall that grA := ⊕ i>0 A6i/A6i−1 is a graded algebra. Tha...
متن کاملApproximate Search with Quantized Sparse Representations
This paper tackles the task of storing a large collection of vectors, such as visual descriptors, and of searching in it. To this end, we propose to approximate database vectors by constrained sparse coding, where possible atom weights are restricted to belong to a finite subset. This formulation encompasses, as particular cases, previous state-ofthe-art methods such as product or residual quan...
متن کاملMinimal Varieties
This is a survey article, reporting on recent results in the theory of minimal varieties in euclidean space, and including a number of theorems on minimal submanifolds of spheres. Introduction. It was exactly 100 years ago, in 1868, that Beltrami presented the first general survey of the theory of minimal surfaces [4]. This survey has been referred to by Blaschke [5, p. 118] as representing the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2021
ISSN: ['1432-1823', '0025-5874']
DOI: https://doi.org/10.1007/s00209-020-02642-1