Элементы теории симметрии. Часть I. Кирсанов А.А. - 4 стр.

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§2.4.    Îðòîãîíàëüíàÿ ñóììà ïðîñòðàíñòâ ............................................. 56
§2.5.    Ïðèâîäèìûå îïåðàòîðû ............................................................... 58
§2.6.    Ñîáñòâåííûå âåêòîðû è ñîáñòâåííûå çíà÷åíèÿ .......................... 61
§2.7.    Òåíçîðíîå ïðîèçâåäåíèå ïðîñòðàíñòâ ......................................... 65
§2.8.    Òåíçîðíîå ïðîèçâåäåíèå îïåðàòîðîâ .......................................... 69
§2.9.    ïðîèçâåäåíèå ïðîèçâîëüíîãî ÷èñëà ïðîñòðàíñòâ ....................... 71

         Ãëàâà III. Òåíçîðíàÿ àëãåáðà íàä êîìïëåêñíûì
                    åâêëèäîâûì ïðîñòðàíñòâîì
§3.1.    Îïðåäåëåíèå ïîíÿòèÿ òåíçîðà ...................................................... 73
§3.2.    Çàäàíèå òåíçîðà êîîðäèíàòàìè ................................................... 76
§3.3.    Èíäóöèðîâàííûé îïåðàòîð ......................................................... 78
§3.4.    Òåíçîð êàê çàêîí ïðåîáðàçîâàíèÿ ............................................... 82
§3.5.    Òåíçîð êàê ïîëèëèíåéíàÿ ôîðìà ................................................. 84
§3.6.    Óìíîæåíèå è ñâ¸ðòûâàíèå òåíçîðîâ ........................................... 85
§3.7.    Ñèììåòðè÷åñêèå è àíòèñèììåòðè÷åñêèå òåíçîðû ...................... 87
§3.8.    Áèñèììåòðè÷åñêèå òåíçîðû .......................................................... 91
§3.9.    Àíòèñèììåòðè÷åñêèå òåíçîðû ..................................................... 91
§3.10.   Îïåðàòîðû ñèììåòðèçàöèè .......................................................... 92

         Ãëàâà IV. Ãðóïïû è èõ ñâîéñòâà
§4.1.    Îïðåäåëåíèå ãðóïï ....................................................................... 93
§4.2.    Ãðóïïû â ìàòðè÷íîé ôîðìå ......................................................... 96
§4.3.    Äèñêðåòíûå è íåïðåðûâíûå ãðóïïû ............................................ 97
§4.4.    Ãîìîìîðôèçì, èçîìîðôèçì è àâòîìîðôèçì ãðóïï .................. 101
§4.5.    Ïðèìåðû ãðóïï ........................................................................... 103
§4.6.    Ãðóïïû Ëè ................................................................................... 110
§4.7.    Ïðÿìîå ïðîèçâåäåíèå ãðóïï ....................................................... 114
§4.8.    Ñîïðÿæåííûå ýëåìåíòû è êëàññû .............................................. 115
§4.9.    Ïðèìåðû êëàññîâ ........................................................................ 116
§4.10.   Êëàññû ïðîèçâåäåíèÿ ãðóïï ....................................................... 119
§4.11.   Òåîðåìà î ïåðå÷èñëåíèè ãðóïï .................................................. 120

        Ãëàâà V. Ïðåäñòàâëåíèÿ ãðóïï
§ 5.1. Îïðåäåëåíèå ïðåäñòàâëåíèÿ ãðóïïû ........................................... 121
§ 5.2. Ìàòðè÷íûå ïðåäñòàâëåíèÿ .......................................................... 122
§ 5.3. Ïðèìåðû ïðåäñòàâëåíèé ãðóïï ................................................... 123
§ 5.4. Ñóììà ïðåäñòàâëåíèé .................................................................. 130
§ 5.5. Ïðîèçâåäåíèå ïðåäñòàâëåíèé ...................................................... 131
§ 5.6. Ýêâèâàëåíòíîñòü ïðåäñòàâëåíèé ................................................. 132