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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 325, Pages 171–180 (Mi znsl357)  
Representation theory and the branching graph for the family of Turaev algebras

P. P. Nikitin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
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Abstract: We consider the family of algebras $\{H_q^{1,n}\}_{n=1}^\infty$, where $H_q^{1,n}$ is obtained by changing the first generator in the group algebra of the symmetric group $S_{n+1}$. We describe the irreducible representations of these algebras and construct the branching graph of the family $\{H_q^{1,n}\}_{n=1}^\infty$. Bibliography: 6 titles.
Received: 23.05.2005
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 138, Issue 3, Pages 5727–5732
DOI: https://doi.org/10.1007/s10958-006-0341-1
Bibliographic databases:
UDC: 512.552.8
Language: Russian
Citation: P. P. Nikitin, “Representation theory and the branching graph for the family of Turaev algebras”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XII, Zap. Nauchn. Sem. POMI, 325, POMI, St. Petersburg, 2005, 171–180; J. Math. Sci. (N. Y.), 138:3 (2006), 5727–5732
Citation in format AMSBIB
\Bibitem{Nik05}
\by P.~P.~Nikitin
\paper Representation theory and the branching graph for the family of Turaev algebras
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~XII
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 325
\pages 171--180
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl357}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2160326}
\zmath{https://zbmath.org/?q=an:1084.16011}
\elib{https://elibrary.ru/item.asp?id=9127000}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 138
\issue 3
\pages 5727--5732
\crossref{https://doi.org/10.1007/s10958-006-0341-1}
\elib{https://elibrary.ru/item.asp?id=13512105}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748654607}
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