Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.:
Year:
Volume:
Issue:
Page:
Find




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

Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 222, Pages 10–18
DOI: https://doi.org/10.36535/0233-6723-2023-222-10-18 (Mi into1137) 		 
Geometry of cyclic and anticyclic spaces

N. I. Gusevaab

a Moscow State Pedagogical University
b All-Russian Institute for Scientific and Technical Information of Russian Academy of Sciences, Moscow
Full-text PDF (191 kB)
References:
PDF
HTML
DOI: https://doi.org/10.36535/0233-6723-2023-222-10-18
Abstract: We consider spaces whose geometry is determined by forms that are not quadratic. These forms are related to cyclic and anticyclic linear algebras. We describe linear transformations that preserve these forms and indicate invariants of these transformations similar to the distance between points and the angle between vectors.
Keywords: space with a multilinear form, cyclic algebra, cyclic space, anticyclic space.
Document Type: Article
UDC: 512.6
MSC: 15A66, 15A69, 16S38
Language: Russian
Citation: N. I. Guseva, “Geometry of cyclic and anticyclic spaces”, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998).  Moscow, November 1–4, 2021. Part 3, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 222, VINITI, Moscow, 2023, 10–18
Citation in format AMSBIB
\Bibitem{Gus23}
\by N.~I.~Guseva
\paper Geometry of cyclic and anticyclic spaces
\inbook Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998).  Moscow, November 1–4, 2021. Part 3
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 222
\pages 10--18
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1137}
\crossref{https://doi.org/10.36535/0233-6723-2023-222-10-18}
Linking options:
  • https://www.mathnet.ru/eng/into1137
  • https://www.mathnet.ru/eng/into/v222/p10
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
    Statistics & downloads:
    Abstract page:56
    Full-text PDF :29
    References:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024