Moscow Mathematical Journal
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



Mosc. Math. J.:
Year:
Volume:
Issue:
Page:
Find






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


Moscow Mathematical Journal, 2021, Volume 21, Number 2, Pages 383–399
DOI: https://doi.org/10.17323/1609-4514-2021-21-2-383-399
(Mi mmj797)
 

This article is cited in 3 scientific papers (total in 3 papers)

Goldie ranks of primitive ideals and indexes of equivariant Azumaya algebras

I. Loseva, I. Paninb

a Department of Mathematics, Yale University, New Haven, CT, USA
b St. Petersburg branch of V.A. Steklov Mathematical Institute, St. Petersburg, Russian Federation
Full-text PDF Citations (3)
References:
Abstract: Let $\mathfrak{g}$ be a semisimple Lie algebra. We establish a new relation between the Goldie rank of a primitive ideal $\mathcal{J}\subset U(\mathfrak{g})$ and the dimension of the corresponding irreducible representation $V$ of an appropriate finite $\mathrm{W}$-algebra. Namely, we show that $\operatorname{Grk}(\mathcal{J}) \leqslant \dim V/d_V$, where $d_V$ is the index of a suitable equivariant Azumaya algebra on a homogeneous space. We also compute $d_V$ in representation theoretic terms.
Key words and phrases: azumaya algebras, index, primitive ideals, Goldie ranks, W-algebras.
Bibliographic databases:
Document Type: Article
MSC: 17B35, 16H99
Language: English
Citation: I. Losev, I. Panin, “Goldie ranks of primitive ideals and indexes of equivariant Azumaya algebras”, Mosc. Math. J., 21:2 (2021), 383–399
Citation in format AMSBIB
\Bibitem{LosPan21}
\by I.~Losev, I.~Panin
\paper Goldie ranks of primitive ideals and indexes of equivariant Azumaya algebras
\jour Mosc. Math.~J.
\yr 2021
\vol 21
\issue 2
\pages 383--399
\mathnet{http://mi.mathnet.ru/mmj797}
\crossref{https://doi.org/10.17323/1609-4514-2021-21-2-383-399}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85105320277}
Linking options:
  • https://www.mathnet.ru/eng/mmj797
  • https://www.mathnet.ru/eng/mmj/v21/i2/p383
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Moscow Mathematical Journal
    Statistics & downloads:
    Abstract page:79
    References:18
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024