Geodesic
Representation theory and the branching graph for the family of Turaev algebras
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XII, Tome 325 (2005), pp. 171-180 
P. P. Nikitin. Representation theory and the branching graph for the family of Turaev algebras. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XII, Tome 325 (2005), pp. 171-180. http://geodesic.mathdoc.fr/item/ZNSL_2005_325_a10/
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     title = {Representation theory and the branching graph for the family of {Turaev} algebras},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_325_a10/}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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.

[1] A. Yu. Okunkov, A. M. Vershik, “Novyi podkhod k teorii predstavlenii simmetricheskikh grupp”, Zap. nauchn. sem. POMI, 307, 2004, 57–98 | MR

[2] I. Rainer, Ch. Kertis, Teoriya predstavlenii konechnykh grupp i assotsiativnykh algebr, Nauka, M., 1969 | MR

[3] V. G. Turaev, “Operatornye invarianty matrits i $r$-matritsy”, Izv. AN SSSR, seriya matemat., 53:5 (1989), 1073–1107 | MR | Zbl

[4] G. James, Kerber, The Representation Theory of the Symmetric Group, Encyclopedia of Mathematics and Its Applications, 16, Addison-Wesley, 1981 | MR | Zbl

[5] A. Vershik, S. Kerov, G. Olshansky, “Harmonic analysis on the infinite symmetric group”, Inv. Math., 158:3 (2004), 551–642 | DOI | MR | Zbl

[6] H. Wensl, “On the structure of brauer's centralizer algebras”, Annals of Mathematics, 128:1 (1988), 173–193 | DOI | MR