Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.:
Year:
Volume:
Issue:
Page:
Find




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

Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2011, Number 5, Pages 44–46 (Mi vmumm718)  
Short notes

Some generalizations of universal enveloping algebras and bilinear forms on them

N. N. Shapovalov

Mechanical Engineering Institute RAS, Moscow
Full-text PDF (215 kB)
Abstract: Тhе paper is devoted to description of some results obtained recently by the author in the field of study of universal enveloping algebras of complex reductive Lie algebras and some their extensions. Namely, extensions of enveloping algebras of this kind and of bilinear forms on them and also some related modules and algebras to algebras over rational function fields on Cartan subalgebras are considered.
Key words: Lie algebra, enveloping algebra, free module, root system, bilinear form, weighted subspace.
Received: 12.02.2010
Bibliographic databases:
Document Type: Article
UDC: 512.813.4
Language: Russian
Citation: N. N. Shapovalov, “Some generalizations of universal enveloping algebras and bilinear forms on them”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 5, 44–46
Citation in format AMSBIB
\Bibitem{Sha11}
\by N.~N.~Shapovalov
\paper Some generalizations of universal enveloping algebras and bilinear forms on them
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2011
\issue 5
\pages 44--46
\mathnet{http://mi.mathnet.ru/vmumm718}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2964356}
\zmath{https://zbmath.org/?q=an:1304.17011}
Linking options:
  • https://www.mathnet.ru/eng/vmumm718
  • https://www.mathnet.ru/eng/vmumm/y2011/i5/p44
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025