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

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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. 
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     author = {P. P. Nikitin},
     title = {Representation theory and the branching graph for the family of {Turaev} algebras},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {171--180},
     publisher = {mathdoc},
     volume = {325},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_325_a10/}
}
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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/