Journal article
Hochschild cohomology of some quantum complete intersections
- Abstract:
- We compute the Hochschild cohomology ring of the algebras $A= k\langle X, Y\rangle/ (X^a, XY-qYX, Y^a)$ over a field $k$ where $a\geq 2$ and where $q\in k$ is a primitive $a$-th root of unity. We find the the dimension of $\mathrm{HH}^n(A)$ and show that it is independent of $a$. We compute explicitly the ring structure of the even part of the Hochschild cohomology modulo homogeneous nilpotent elements.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 327.9KB, Terms of use)
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- Publisher copy:
- 10.1142/S0219498818502158
Authors
- Publisher:
- World Scientific Publishing
- Journal:
- Journal of Algebra and its Applications More from this journal
- Volume:
- 17
- Issue:
- 11
- Article number:
- 1850215
- Publication date:
- 2018-01-04
- Acceptance date:
- 2017-11-02
- DOI:
- EISSN:
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1793-6829
- ISSN:
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0219-4988
- Keywords:
- Pubs id:
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pubs:742602
- UUID:
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uuid:d50ede46-2004-4d8b-a6aa-496ce85c29bc
- Local pid:
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pubs:742602
- Source identifiers:
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742602
- Deposit date:
-
2017-11-03
Terms of use
- Copyright holder:
- World Scientific Publishing
- Copyright date:
- 2018
- Notes:
- Copyright © World Scientific Publishing. This is the accepted manuscript version of the article. The final version is available online from World Scientific Publishing at: https://doi.org/10.1142/S0219498818502158
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