Representations of the Complex Classical Cayley-Klein Categories
نویسنده
چکیده
Complex classical Cayley-Klein categories A(j), B(j), C(j) and D(j) are constructed by the method of categorical extension of the complex classical Cayley-Klein groups SL(2n; j;C), SO(2n + 1; j;C), Sp(2n; j;C) and SO(2n; j;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.
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