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This article is cited in 8 scientific papers (total in 9 papers)
A New Approach to the Representation Theory of the Symmetric Groups, IV. $\mathbb Z_2$-Graded Groups and Algebras; Projective Representations of the Group $S_n$
A. M. Vershika, A. N. Sergeevab a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Department of Mathematical Sciences, Loughborough University
Abstract:
We start with definitions of the general notions of the theory of $\mathbb Z_2$-graded algebras. Then we consider theory of inductive families of $\mathbb Z_2$-graded semisimple finite-dimensional algebras and its representations in the spirit of approach of the papers [14], [21] to representation theory of symmetric groups. The main example is the theory of the projective representations of symmetric groups.
Key words and phrases:
chains of $\mathbb Z_2$-graded algebras, Gelfand–Tsetlin superalgebras, Young formulas.
Received: January 16, 2008
Citation:
A. M. Vershik, A. N. Sergeev, “A New Approach to the Representation Theory of the Symmetric Groups, IV. $\mathbb Z_2$-Graded Groups and Algebras; Projective Representations of the Group $S_n$”, Mosc. Math. J., 8:4 (2008), 813–842
Linking options:
https://www.mathnet.ru/eng/mmj330 https://www.mathnet.ru/eng/mmj/v8/i4/p813
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