Page 15 - Matrices theory and applications
P. 15

xiv
                              I n,5
                                                                0 nm,5
                                                                O n , 123
                                                                 −
                              J, 151
                              J(a; r), 110
                                                                O(p, q), 120
                              J ik, 100
                                                                ⊥ A, 160
                              J 2, 132
                              J 3, 132
                                                                Pf, 22
                              J 4, 132  List of Symbols         O n(K), 20
                                                                P G, 156
                                                                π 0, 125
                              K(A), 162                         P J , 156
                              K,4                               P M ,24
                              ker M,7                           P ω, 156
                              ker u,7                           p ,62

                               I
                              K ,2                              PSL 2(IR), 56
                              K(M), 6
                              K n,57                            R A(F), 57
                              K[X], 15                          rk M,5
                              k[X, Y ], 99                       , real part, 63
                                                                R(h; A), 92
                              λ k(A), 57                        ρ(A), 61
                              L(E, F), 7                        R(M), 8
                              L ω, 152                          r(x), 70, 160
                              adj M,17                           x, y
, 11, 41
                              ¯
                              M,40                              S∆ n,90
                              ˆ
                              M,17                              σ r, 188

                                  i 1  i 2  ···  i p            s j(A), 75
                              M                   ,17
                                  j 1  j 2  ···  j p            s k(a), 52
                                k
                              M ,6                              SL n(A), 20
                              M  −1 ,20                         s m, 189
                              M  −k ,20                         S n,15
                              M  −T ,20                         SO n(K), 20
                                                                 1
                              [M, N], 6                         S ,86
                              M n(K), 5                         Sp(M), 24
                              M n×m(K), 5                       Sp (M), 24
                                                                  K
                                ∗
                              M ,40                             SPD n,42
                              M  −∗ ,40                         Sp , 120
                                                                  m
                                T
                              M ,10                             Sp , 120
                                                                  m
                                                                 2
                                                                S , 56, 126
                              	 A 	,64                          SU n,41
                              	 A 	 p,65                        Sym (K), 10
                                                                    n
                              	 x 	 p,61
                              	 x 	 A, 154                      τ, 151
                              	 x 	 ∞,61                        τ CG, 164

                              	· 	 ,64                          T k, 162
                              ||| · |||,65                      Tr M,25
                              ω J , 158                         U n,41
                              0 n,5                             U p,85
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