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Sbornik: Mathematics, 2006, Volume 197, Issue 1, Pages 37–51
DOI: https://doi.org/10.1070/SM2006v197n01ABEH003745 (Mi sm1495) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Geometry of operator cross ratio

M. I. Zelikin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (277 kB) Citations (10)
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DOI: https://doi.org/10.1070/SM2006v197n01ABEH003745
Abstract: The operator cross ratio, which is meaningful, in particular, for the infinite-dimensional Sato Grassmannian is defined and investigated. Its homological interpretation is presented. A matrix and operator analogue of the Schwartzian differential operator is introduced and its relation to linear Hamiltonian systems and Riccati's equation is established. The aim of these constructions is application to the KP-hierarchy (the Kadomtsev–Petviashvili hierarchy).
Bibliography: 12 titles.
Received: 21.03.2005
Russian version:
Matematicheskii Sbornik, 2006, Volume 197, Number 1, Pages 39–54
DOI: https://doi.org/10.4213/sm1495
Bibliographic databases:
UDC: 512.542+517.551
MSC: 37K10, 37K20
Language: English
Original paper language: Russian
Citation: M. I. Zelikin, “Geometry of operator cross ratio”, Sb. Math., 197:1 (2006), 37–51
Citation in format AMSBIB
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\paper Geometry of operator cross ratio
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\issue 1
\pages 37--51
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  • https://www.mathnet.ru/eng/sm/v197/i1/p39
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
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    Abstract page:617
    Russian version PDF:340
    English version PDF:23
    References:63
    First page:3
     
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