Representations of the Complex Classical Cayley-Klein Categories

الأصل · EN

Complex classical Cayley-Klein categories A(), B(), C() and D() are constructed by the method of categorical extension of the complex classical Cayley-Klein groups SL(2n;; C), SO(2n+1;; C), Sp(2n;; C) and SO(2n;; C), respectively. The explicit construction of the irreducible representations of the complex classical Cayley-Klein categories is received. Completeness of lists of the irreducible representations of the complex classical Cayley-Klein categories and the classification theorems are proved.