252 Гл. 13. Квантовые симплектические группы Кэли-Клейна 3. ^--коммутирующие [а, Ь]д2 = 0 или аЬ = д2Ьа, 111141 = д21'411^11, ^12^42 = 92^42^12> 213243 = З^З^З, 114144 = Я2'14А'114:, 111114 = <<2'114:'111, 121124 = д2^1^!, 131134 = д21ЗГ13\, ^41^44 = З2^^, 4. [а, Ь] = Лей, 5. [11, М = 31x112^1112, [211,1зз] =11Х3з11^13, [11,232] =Х1Х3x1Х12, [1112,124] = -1114Х22, [213, 234] = ^2Т4233, [213, 224] = 71 71 71 [21В 223] = 74А121213, [112, 234] = —114132, 31 [2:^:з,244] = 31X^143124, [23^, 144] = 31'11‘^2^134, ./"и] =Х2Х^зxХз4, [231> 242] = 71 [22Ь 242] = [122, 144] = 31111'^2^124, [231,243] = -у 141133, 71 31 [221>243] = — 241243, [142, М = ^2Т4241, [144, Ы = —214141, 71 71 71 [а, Ь]ч = Хс1, [144, 1зз]ч = А241234, [124,1зз]ч = А214243, [144, 22з]д = А241244, [2зз, 21з]9 = [122, 21з]д = А^^и, [122, 231]д = А112141, [213,144]ч = А214243, [111,242]9 = А112141, [21Ь = А141214, [124,1з2]ч = Х1ц142, [143, 23|]д = [1211144]ч = Х1411^24, [211 > 234]9 = А23314, [111,24з]д = А!^, [11^, 144]ч = Х114142, '* М? = А241234, [а, Ь]д2 = ХссХ, [212, 21з]д2 = Щ2! 12И> [221 > 231]д2 = [1422 2'1з],7- = 2^23I2/I2 71 71 71 [122, 2з4]д2 =1X112142, ^Зг^З^2 ==7А12312^34, [Хее, ^З^2 =:7ЗА421142: ^зЛзз]^2 == [224> 234]д2 — -2 214244, 71 7. слкжные 211244 — д2'1441И = Лд(24^1^2^1 — 1)> [223> = Ц^Х (113142 ~ 231224) > [^22, 233] = А (73213243 + + д~1')13212з) , [21.234] = 4 (дг2'114141 + + д_1)224231) . 71 Коми научный центр Уро РАН
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