Элементы теории симметрии. Часть I. Кирсанов А.А. - 5 стр.

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§ 5.7. Íåïðèâîäèìûå ïðåäñòàâëåíèé .................................................... 133
§ 5.8. Íåýêâèâàëåíòíûå íåïðèâîäèìûå ïðåäñòàâëåíèÿ ..................... 135
§5.9. Ëåììû Øóðà ............................................................................... 136
§ 5.10. Õàðàêòåðû ïðåäñòàâëåíèé ......................................................... 144
§ 5.11. Ñîîòíîøåíèå îðòîãîíàëüíîñòè äëÿ õàðàêòåðîâ
        íåïðèâîäèìûõ ïðåäñòàâëåíèé ................................................... 145
§5.12. Ïðèâåäåíèå ïðåäñòàâëåíèé ñ ïîìîùüþ ..........................................
        õàðàêòåðîâ ãðóïï ........................................................................ 146
§5.13. Êðèòåðèé íåïðèâîäèìîñòè ........................................................ 148
§5.14. ×èñëî íåýêâèâàëåíòíûõ íåïðèâîäèìûõ
        ïðåäñòàâëåíèé, ðåãóëÿðíîå ïðåäñòàâëåíèå ............................... 149
§5.15. Âòîðîå ñîîòíîøåíèå îðòîãîíàëüíîñòè äëÿ
        õàðàêòåðîâ ãðóïï ........................................................................ 152
§5.16. Ïîñòðîåíèå òàáëèöû õàðàêòåðîâ .............................................. 153
§5.17. Îðòîãîíàëüíîñòü áàçèñíûõ ôóíêöèé íåïðèâîäèìûõ
        ïðåäñòàâëåíèé ............................................................................. 154

         Ãëàâà VI. Àëãåáðû Ëè
§6.1.    Îñíîâíûå ïîíÿòèÿ è îáùèå ñâîéñòâà ........................................ 158
§6.2.    Èçîìîðôèçì àëãåáð Ëè .............................................................. 159
§6.3.    Ñâîéñòâà êîììóòàòîðîâ àëãåáðû Ëè ........................................ 159
§6.4.    Çàäàíèå àëãåáðû Ëè ñ ïîìîùüþ îáðàçóþùèõ
         è ñîîòíîøåíèé ............................................................................ 160
§6.5.    Ïîäàëãåáðû Ëè ........................................................................... 161
§6.6.    Ïðèìåðû àëãåáð Ëè .................................................................... 162
§6.7.    Ýêñïîíåíöèàëüíîå îòîáðàæåíèå ............................................... 173
§6.8.    Ãðóïïû Ëè è àëãåáðû Ëè ........................................................... 178
§6.9.    Ïîäãðóïïû è ïîäàëãåáðû .......................................................... 178
§6.10.   Ïðåäñòàâëåíèÿ àëãåáð Ëè ........................................................... 180

      Ãëàâà VII. Ïðåäñòàâëåíèÿ íåïðåðûâíûõ ãðóïï
                  âðàùåíèÿ SO(2) è SO(3)
§7.1. Îáùèå çàìå÷àíèÿ ........................................................................ 185
§7.2. Èíôèíèòåçèìàëüíûå îïåðàòîðû ............................................... 187
§7.3. Ãðóïïà SO(2) ............................................................................... 192
      7.3.1. Íåïðèâîäèìûå ïðåäñòàâëåíèÿ ..................................... 192
      7.3.2. Õàðàêòåð ........................................................................ 194
      7.3.3. Ïðèìåðû áàçèñíûõ âåêòîðîâ ....................................... 194
      7.3.4. Èíôèíèòåçèìàëüíûå îïåðàòîðû .................................. 196