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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 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

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Operators in the spaces of pseudocharacters of braid groups
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by A. V. Malyutin
Translated by: the author
St. Petersburg Math. J. 21 (2010), 261-280
DOI: https://doi.org/10.1090/S1061-0022-10-01094-0
Published electronically: January 26, 2010

Abstract:

The theory of pseudocharacters of Artin’s braid groups is developed. A family of operators in the spaces of pseudocharacters of braid groups is introduced and studied, techniques for constructing new pseudocharacters for braid groups are described, and the structure of the space of pseudocharacters of the braid group is investigated.
References
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Bibliographic Information
  • A. V. Malyutin
  • Affiliation: St. Petersburg Branch, Steklov Institute of Mathematics, Russian Academy of Sciences, Fontanka 27, St. Petersburg 191023, Russia
  • Email: malyutin@pdmi.ras.ru
  • Received by editor(s): September 16, 2008
  • Published electronically: January 26, 2010
  • Additional Notes: Supported in part by RFBR (grant 08-01-00379-a) and by the RF President’s Program for Support of Leading Scientific Schools (grant NSh-2460.2008.1112)
  • © Copyright 2010 American Mathematical Society
  • Journal: St. Petersburg Math. J. 21 (2010), 261-280
  • MSC (2000): Primary 20F36
  • DOI: https://doi.org/10.1090/S1061-0022-10-01094-0
  • MathSciNet review: 2553045