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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2024 MCQ for St. Petersburg Mathematical Journal is 0.68.

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Upper estimates of the Morse numbers for the matrix elements of real linear irreducible representations of compact connected simple Lie groups
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by M. V. Meshcheryakov
Translated by: S. V. Kislyakov
St. Petersburg Math. J. 33 (2022), 971-980
DOI: https://doi.org/10.1090/spmj/1737
Published electronically: October 31, 2022
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Abstract:

The Morse numbers of spaces of matrix elements for real irreducible linear representations of compact connected simple Lie groups are estimate from above in a variety of ways, in terms of the dimension, the Dynkin index of the representation, the eigenvalues of the invariant Laplace operator, and the volume of the group.
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Bibliographic Information
  • M. V. Meshcheryakov
  • Affiliation: N. P. Ogarev Mordovian State University, ul. Bolshevistskaya 68/1, 430005 Saransk, Republic of Mordovia, Russia
  • Email: mesh@math.mrsu.ru
  • Received by editor(s): May 25, 2020
  • Published electronically: October 31, 2022
  • Additional Notes: This research was done under the financial support of RFBR and the Government of Republic of Mordovia, project no. 18-41-130004.

    • Dedicated: To A. S. Mishchenko on his 80th anniversary
  • © Copyright 2022 American Mathematical Society
  • Journal: St. Petersburg Math. J. 33 (2022), 971-980
  • MSC (2020): Primary 22E45
  • DOI: https://doi.org/10.1090/spmj/1737