Theorem about the conjugacy representation ofS
n |
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| Authors: | Avital Frumkin |
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| Institution: | (1) Department of Theoretical Mathematics, The Weizmann Institute of Science, 76100 Rehovot, Israel;(2) Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel |
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| Abstract: | Every group has two natural representations on itself, the regular representation and the conjugacy representation. We know
everything about the construction of the regular representation, but we know very little about the conjugacy representation
(for uncommutative groups). In this paper we will see that every irreducible complex character ofS
n
(n>2) is a constituent of conjugacy character ofS
n
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| Keywords: | |
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