Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




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

Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 208, Number 3, Pages 416–439
DOI: https://doi.org/10.4213/tmf10047 (Mi tmf10047) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Notes about the KP/BKP correspondence

A. Yu. Orlovab

a Shirshov Institute for Oceanology, Russian Academy of Sciences, Moscow, Russia
b Alikhanov Institute for Theoretical and Experimental Physics, National Research Center "Kurchatov Institute", Moscow, Russia
Full-text PDF (664 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf10047
Abstract: We present a set of remarks related to previous work. These are remarks on polynomials solutions, the application of the Wick theorem, examples of creation of polynomial solutions with the help of vertex operators, the eigenproblem for polynomials, and a remark on the conjecture by Alexandrov and Mironov, Morozov about the ratios of the projective Schur functions. New results on the bilinear relations between characters of the symmetric group and the Sergeev group and on bilinear relations between skew Schur and projective Schur functions and also between shifted Schur and projective Schur functions are added. Certain new matrix models are discussed.
Keywords: KP tau function, BKP tau function, Schur function, projective Schur function, shifted Schur function, character of symmetric group, character of Sergeev group, symmetric polynomial, vertex operator, eigenvalue problem.
Funding agency Grant number
Russian Science Foundation 20-12-00195
The work was supported by the Russian Science Foundation grant No. 20-12-00195.
Received: 26.12.2020
Revised: 26.03.2021
English version:
Theoretical and Mathematical Physics, 2021, Volume 208, Issue 3, Pages 1207–1227
DOI: https://doi.org/10.1134/S004057792109004X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Yu. Orlov, “Notes about the KP/BKP correspondence”, TMF, 208:3 (2021), 416–439; Theoret. and Math. Phys., 208:3 (2021), 1207–1227
Citation in format AMSBIB
\Bibitem{Orl21}
\by A.~Yu.~Orlov
\paper Notes about the KP/BKP correspondence
\jour TMF
\yr 2021
\vol 208
\issue 3
\pages 416--439
\mathnet{http://mi.mathnet.ru/tmf10047}
\crossref{https://doi.org/10.4213/tmf10047}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2021TMP...208.1207O}
\elib{https://elibrary.ru/item.asp?id=47014893}
\transl
\jour Theoret. and Math. Phys.
\yr 2021
\vol 208
\issue 3
\pages 1207--1227
\crossref{https://doi.org/10.1134/S004057792109004X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000698718800004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85115385802}
Linking options:
  • https://www.mathnet.ru/eng/tmf10047
  • https://doi.org/10.4213/tmf10047
  • https://www.mathnet.ru/eng/tmf/v208/i3/p416
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:201
    Full-text PDF :55
    References:31
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024