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Derived Autoequivalences of Twisted ...

Xiang, Fei,

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Derived Autoequivalences of Twisted Group Rings /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Derived Autoequivalences of Twisted Group Rings // Fei Xiang.
作者:	Xiang, Fei,
面頁冊數:	1 electronic resource (83 pages)
附註:	Source: Dissertations Abstracts International, Volume: 87-01, Section: B.
Contained By:	Dissertations Abstracts International87-01B.
標題:	Mathematics. -
電子資源:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=32047070
ISBN:	9798288800597

Derived Autoequivalences of Twisted Group Rings /
Xiang, Fei,

Derived Autoequivalences of Twisted Group Rings /Fei Xiang. - 1 electronic resource (83 pages)

Source: Dissertations Abstracts International, Volume: 87-01, Section: B.

For a finite group G ∈ SL2(ℂ), we give the explicit way to construct several bimodules over the twisted group algebra ℂ[x, y]≠G, which gives an auto-equivalence of the G-equivariant derived category DbG(ℂ[x, y]≠G) on the minimal resolution of ℂ2/G. By the derived McKay correspondence, this autoequivalence corresponds to the twist by standard line bundles.

English

ISBN: 9798288800597Subjects--Topical Terms:

515831
Mathematics.
Subjects--Index Terms:

Crepant resolution

Derived Autoequivalences of Twisted Group Rings /
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520 $a For a finite group G ∈ SL2(ℂ), we give the explicit way to construct several bimodules over the twisted group algebra ℂ[x, y]≠G, which gives an auto-equivalence of the G-equivariant derived category DbG(ℂ[x, y]≠G) on the minimal resolution of ℂ2/G. By the derived McKay correspondence, this autoequivalence corresponds to the twist by standard line bundles.
546 $a English
590 $a School code: 0030
650 4 $a Mathematics. $3 515831
650 4 $a Theoretical mathematics. $3 3173530
653 $a Crepant resolution
653 $a Derived category
653 $a McKay correspondence
653 $a Moduli space
653 $a Representation theory
690 $a 0405
690 $a 0642
710 2 $a University of California, Irvine. $b Mathematics. $e degree granting institution. $3 3823182
720 1 $a Baranovsky, Vladimir $e degree supervisor.
773 0 $t Dissertations Abstracts International $g 87-01B.
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791 $a Ph.D.
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