Decomposition matrix
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133:
193:
174:
102:
21:
167:
52:
203:
160:
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118:
45:
29:
56:
33:
198:
98:
72:
37:
90:
41:
144:
187:
68:
17:
94:
64:
40:, where the entries of the two sets of characters are taken to be over all
132:
60:
48:
148:
59:. All such entries in the matrix are non-negative
87:A Course in Finite Group Representation Theory
63:. The decomposition matrix, multiplied by its
168:
8:
175:
161:
32:that results from writing the irreducible
89:. Cambridge: Cambridge University Press.
71:, listing the composition factors of the
7:
129:
127:
14:
131:
194:Representation theory of groups
1:
22:modular representation theory
147:. You can help Knowledge by
36:in terms of the irreducible
220:
126:
95:10.1017/cbo9781316677216
119:Matrix decomposition
85:Webb, Peter (2016).
26:decomposition matrix
20:, and in particular
139:This article about
34:ordinary characters
73:projective modules
38:modular characters
156:
155:
104:978-1-316-67721-6
42:conjugacy classes
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177:
170:
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135:
128:
108:
219:
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184:
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182:
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124:
115:
105:
84:
81:
44:of elements of
12:
11:
5:
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196:
186:
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165:
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136:
122:
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114:
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103:
80:
77:
53:characteristic
13:
10:
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4:
3:
2:
216:
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166:
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146:
142:
137:
134:
130:
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117:
116:
112:
106:
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96:
92:
88:
83:
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78:
76:
74:
70:
69:Cartan matrix
66:
62:
58:
54:
50:
47:
43:
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35:
31:
27:
23:
19:
204:Matrix stubs
149:expanding it
138:
123:
86:
67:, forms the
25:
15:
18:mathematics
188:Categories
79:References
65:transpose
199:Matrices
141:matrices
113:See also
61:integers
55:of the
51:to the
49:coprime
101:
30:matrix
143:is a
57:field
46:order
28:is a
145:stub
99:ISBN
24:, a
91:doi
16:In
190::
97:.
75:.
176:e
169:t
162:v
151:.
107:.
93::
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