Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 145, Number 3, Pages 291–320
DOI: https://doi.org/10.4213/tmf1902 (Mi tmf1902) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Cohomology of the Poisson Superalgebra on Spaces of Superdimension $(2,n_-)$

S. E. Konstein, I. V. Tyutin

P. N. Lebedev Physical Institute, Russian Academy of Sciences
Full-text PDF (374 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf1902
Abstract: Under certain assumptions about the continuity of cochains, we study the cohomology spaces of a Poisson superalgebra realized on the space of smooth Grassmann-valued functions with compact support in $\mathbb{R}^2$. We find the zeroth, first, and second cohomology spaces in the adjoint representation in the case of a constant nondegenerate Poisson superbracket.
Keywords: Grassmann algebra, Poisson superalgebra, cohomology, deformation, $*$-commutator, quantization.
Received: 25.03.2005
English version:
Theoretical and Mathematical Physics, 2005, Volume 145, Issue 3, Pages 1619–1645
DOI: https://doi.org/10.1007/s11232-005-0187-6
Bibliographic databases:
Language: Russian
Citation: S. E. Konstein, I. V. Tyutin, “Cohomology of the Poisson Superalgebra on Spaces of Superdimension $(2,n_-)$”, TMF, 145:3 (2005), 291–320; Theoret. and Math. Phys., 145:3 (2005), 1619–1645
Citation in format AMSBIB
\Bibitem{KonTyu05}
\by S.~E.~Konstein, I.~V.~Tyutin
\paper Cohomology of the Poisson Superalgebra on Spaces of Superdimension $(2,n_-)$
\jour TMF
\yr 2005
\vol 145
\issue 3
\pages 291--320
\mathnet{http://mi.mathnet.ru/tmf1902}
\crossref{https://doi.org/10.4213/tmf1902}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2243434}
\zmath{https://zbmath.org/?q=an:1178.17021}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2005TMP...145.1619K}
\elib{https://elibrary.ru/item.asp?id=17703463}
\transl
\jour Theoret. and Math. Phys.
\yr 2005
\vol 145
\issue 3
\pages 1619--1645
\crossref{https://doi.org/10.1007/s11232-005-0187-6}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000234453700001}
Linking options:
  • https://www.mathnet.ru/eng/tmf1902
  • https://doi.org/10.4213/tmf1902
  • https://www.mathnet.ru/eng/tmf/v145/i3/p291
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:385
    Full-text PDF :187
    References:61
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024