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Representations of the elliptic affine H...

Zhao, Gufang...

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Representations of the elliptic affine Hecke algebras by Zhao, Gufang ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	04-08-2023
Summary	We prove that irreducible representations of the elliptic affine Hecke algebras of Ginzburg, Kapranov, and Vasserot are in one-to-one correspondence with certain nilpotent Higgs bundles on the elliptic curve. The main tool we use is the equivariant elliptic cohomology of the Steinberg variety of the Springer resolution. As a by-product, we study representations at roots of unity in type-$A$. As another by-product, we define a version of elliptic Demazure-Lusztig operators with dynamical parameters that satisfy the braid relations. We discuss speculative indications of this correspondence in 4d $\mathcal N=2$ gauge theory.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1507.01245

Citation

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AMA 11th EditionReferences

Zhao, Gufang. Representations of the elliptic affine Hecke algebras. Australian National University. August 04, 2023. Accessed August 15, 2025. https://online.provdatabase.com/cite/11200

APA 7th EditionReferences

Zhao, Gufang. (2023). Representations of the elliptic affine Hecke algebras. Australian National University. https://online.provdatabase.com/cite/11200

Chicago 17th EditionReferences

Zhao, Gufang. Representations of the elliptic affine Hecke algebras. Australian National University. 2023. https://online.provdatabase.com/cite/11200

HarvardReferences

Zhao, Gufang. (2023). Representations of the elliptic affine Hecke algebras. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/11200. (Accessed 15 August 2025).

Harvard AustraliaReferences

Zhao, Gufang, 2023, Representations of the elliptic affine Hecke algebras, Australian National University, viewed 15 August 2025, <https://online.provdatabase.com/cite/11200>

MLA 9th EditionWorks Cited

Zhao, Gufang. Representations of the elliptic affine Hecke algebras. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/11200.

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