Symmetry, Integrability and Geometry: Methods and Applications
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


SIGMA:
Year:
Volume:
Issue:
Page:
Find




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

Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 010, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.010 (Mi sigma356) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials

Saburo Kakeia, Michitomo Nishizawab, Yoshihisa Saitoc, Yoshihiro Takeyamad

a Department of Mathematics, College of Science, Rikkyo University, Nishi-Ikebukuro, Toshima-ku, Tokyo 171-8501, Japan
b Department of Mathematics, Faculty of Education, Hirosaki University, 1 Bunkyo-cho, Hirosaki, Aomori 036-8560, Japan
c Graduate School of Mathematical Sciences, University of Tokyo, Tokyo 153-8914, Japan
d Department of Mathematics, Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
Full-text PDF (277 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2009.010
Abstract: We construct special solutions to the rational quantum Knizhnik–Zamolodchikov equation associated with the Lie algebra $gl_N$. The main ingredient is a special class of the shifted non-symmetric Jack polynomials. It may be regarded as a shifted version of the singular polynomials studied by Dunkl. We prove that our solutions contain those obtained as a scaling limit of matrix elements of the vertex operators of level one.
Keywords: qKZ equation; shifted Jack polynomial; degenerate double affine Hecke algebra.
Received: October 15, 2008; in final form January 15, 2009; Published online January 27, 2009
Bibliographic databases:
Document Type: Article
MSC: 39A13; 33C52; 81R50
Language: English
Citation: Saburo Kakei, Michitomo Nishizawa, Yoshihisa Saito, Yoshihiro Takeyama, “The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials”, SIGMA, 5 (2009), 010, 12 pp.
Citation in format AMSBIB
\Bibitem{KakNisSai09}
\by Saburo Kakei, Michitomo Nishizawa, Yoshihisa Saito, Yoshihiro Takeyama
\paper The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials
\jour SIGMA
\yr 2009
\vol 5
\papernumber 010
\totalpages 12
\mathnet{http://mi.mathnet.ru/sigma356}
\crossref{https://doi.org/10.3842/SIGMA.2009.010}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2481482}
\zmath{https://zbmath.org/?q=an:1163.39305}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000267267900010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84896059441}
Linking options:
  • https://www.mathnet.ru/eng/sigma356
  • https://www.mathnet.ru/eng/sigma/v5/p10
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:288
    Full-text PDF :44
    References:32
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024