A new approach to the representation theory of the symmetric groups. IV. \Bbb Z₂-graded groups and algebras

2008/01/16 by A. M. Vershik, Vershik, A. M., A. N. Sergeev +1
Mathematics · #Advanced Topics in Algebra #Finite Group Theory Research #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.0801.2496

Abstract

We start with definitions of the general notions of the theory of \Bbb Z₂-graded algebras. Then we consider theory of inductive families of \Bbb Z₂-graded semisimple finite-dimensional algebras and its representations in the spirit of approach of the papers \citeVO,OV to representation theory of symmetric groups. The main example is the classical - theory of the projective representations of symmetric groups.

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