On tensor squares of irreducible representations of almost simple groups. I
Abstract
Almost simple SM_m-groups are considered. A group G is called a SM_m-group if
the tensor square of any irreducible representation is decomposed into the sum of its
irreducible representations with multiplicities not greater than m. In the first part of
this article we consider simple groups. It turned out that among them only groups L_2(q), q = 2^t, t > 1, are SM_2-groups.
the tensor square of any irreducible representation is decomposed into the sum of its
irreducible representations with multiplicities not greater than m. In the first part of
this article we consider simple groups. It turned out that among them only groups L_2(q), q = 2^t, t > 1, are SM_2-groups.
About the Author
S. V. Polyakov
Ярославский государственный университет им. П.Г. Демидова
Russian Federation
Russian Federation
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Review
For citations:
Polyakov S.V. On tensor squares of irreducible representations of almost simple groups. I. Modeling and Analysis of Information Systems. 2011;18(1):130-141. (In Russ.)
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