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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 223, Pages 92–107 (Mi znsl4358)  
Representation theory

Tame representations of the Hecke algebra $H(\infty)$ and the $q$-analogs of partial bijections

A. Okun'kov

Institute for Information Transmission Problems, Russian Academy of Sciences
Full-text PDF (613 kB)
Abstract: In this paper the $q$-analogs of the semigroup of partial bijections are introduced and studied. They are applied to the description of the so-called tame representations of the infinite-dimensional Hecke algebra. Bibliography: 3 titles.
Received: 15.03.1995
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 87, Issue 6, Pages 4036–4045
DOI: https://doi.org/10.1007/BF02355797
Bibliographic databases:
Document Type: Article
UDC: 517.986.4
Language: Russian
Citation: A. Okun'kov, “Tame representations of the Hecke algebra $H(\infty)$ and the $q$-analogs of partial bijections”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part I, Zap. Nauchn. Sem. POMI, 223, POMI, St. Petersburg, 1995, 92–107; J. Math. Sci. (New York), 87:6 (1997), 4036–4045
Citation in format AMSBIB
\Bibitem{Oko95}
\by A.~Okun'kov
\paper Tame representations of the Hecke algebra $H(\infty)$ and the $q$-analogs of partial bijections
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~I
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 223
\pages 92--107
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4358}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1374312}
\zmath{https://zbmath.org/?q=an:0909.20007|0885.20004}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 87
\issue 6
\pages 4036--4045
\crossref{https://doi.org/10.1007/BF02355797}
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