# Linear representation theory of double cover of alternating group

## Contents

This article gives specific information, namely, linear representation theory, about a family of groups, namely: double cover of alternating group.
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## Particular cases

$n$ $n!$ (order of the group $2 \cdot A_n$) The group $2 \cdot A_n$ number of irreducible representations (= number of conjugacy classes) degrees of irreducible representations number of irreducible representations of $A_n$ (correspond to irreducible representations of $2 \cdot A_n$ with center in the kernel degrees of these irreducible representations number of irreducible representations of $2 \cdot A_n$ that are not with center in the kernel degrees of these irreducible representations Linear representation theory information
4 24 special linear group:SL(2,3) 7 1,1,1,2,2,2,3 4 1,1,1,3 3 2,2,2 linear representation theory of special linear group:SL(2,3)
5 120 special linear group:SL(2,5) 9 1,2,2,3,3,4,4,5,6 5 1,3,3,4,5 4 2,2,4,6 linear representation theory of special linear group:SL(2,5)
6 720 special linear group:SL(2,9) 13 1,4,4,5,5,8,8,8,8,9,10,10,10 7 1,5,5,8,8,9,10 6 4,4,8,8,10,10 linear representation theory of special linear group:SL(2,9)
7 5040 double cover of alternating group:A7 linear representation theory of double cover of alternating group:A7
8 40320 double cover of alternating group:A8 linear representation theory of double cover of alternating group:A8
9 362880 double cover of alternating group:A9 linear representation theory of double cover of alternating group:A9