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What Do Algebras Form?

Northwestern University.

What Do Algebras Form?

紀錄類型:	書目-語言資料,手稿 : Monograph/item
正題名/作者:	What Do Algebras Form?/
作者:	Wei, Ann Rebecca.
面頁冊數:	1 online resource (110 pages)
附註:	Source: Dissertation Abstracts International, Volume: 78-08(E), Section: B.
Contained By:	Dissertation Abstracts International78-08B(E).
標題:	Mathematics. -
電子資源:	click for full text (PQDT)
ISBN:	9781369679311

What Do Algebras Form?
Wei, Ann Rebecca.

What Do Algebras Form? - 1 online resource (110 pages)

Source: Dissertation Abstracts International, Volume: 78-08(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

Algebras and their bimodules form a 2-category in which 2-morphisms are certain zero-th Hochschild cohomology groups. When we derive this structure (i.e., use Hochschild cochains instead of HH0 for 2-morphisms), we find that algebras form a category in dg cocategories. The Hochschild-Kostant-Rosenberg theorem and non-commutative calculus give a rich algebraic structure on Hochschild cohomology along with Hochschild homology. When incorporating the structure on Hochschild homology, we find that algebras form a 2-category with a trace functor. Deriving this again, we conclude that algebras form a category in dg cocategories with a trace functor up to homotopy.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9781369679311Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

What Do Algebras Form?
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035 $a (MiAaPQ)northwestern:13574
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099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Wei, Ann Rebecca. $3 1180603
245 1 0 $a What Do Algebras Form?
264 0 $c 2017
300 $a 1 online resource (110 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 78-08(E), Section: B.
500 $a Adviser: Boris L. Tsygan.
502 $a Thesis (Ph.D.) $c Northwestern University $d 2017.
504 $a Includes bibliographical references
520 $a Algebras and their bimodules form a 2-category in which 2-morphisms are certain zero-th Hochschild cohomology groups. When we derive this structure (i.e., use Hochschild cochains instead of HH0 for 2-morphisms), we find that algebras form a category in dg cocategories. The Hochschild-Kostant-Rosenberg theorem and non-commutative calculus give a rich algebraic structure on Hochschild cohomology along with Hochschild homology. When incorporating the structure on Hochschild homology, we find that algebras form a 2-category with a trace functor. Deriving this again, we conclude that algebras form a category in dg cocategories with a trace functor up to homotopy.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a Northwestern University. $b Mathematics. $3 1180604
773 0 $t Dissertation Abstracts International $g 78-08B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10257501 $z click for full text (PQDT)

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