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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 144, Number 3, Pages 435–452
DOI: https://doi.org/10.4213/tmf1869 (Mi tmf1869) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Hochschild Cohomology of the Algebra of Smooth Functions on the Torus

V. V. Zharinov

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (308 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf1869
Abstract: We calculate the Hochschild cohomology of the algebra of smooth functions on a finite-dimensional real torus with coefficients in the adjoint representation, generalizing the previously developed technique to the discrete case for this.
Keywords: Hochschild cohomology, adjoint representation, de Rham complex on an integer lattice.
Received: 11.01.2005
English version:
Theoretical and Mathematical Physics, 2005, Volume 144, Issue 3, Pages 1247–1263
DOI: https://doi.org/10.1007/s11232-005-0157-z
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Zharinov, “Hochschild Cohomology of the Algebra of Smooth Functions on the Torus”, TMF, 144:3 (2005), 435–452; Theoret. and Math. Phys., 144:3 (2005), 1247–1263
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v144/i3/p435
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :226
    References:69
    First page:3
     
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