q - Difference Intertwining Operators for U q ( sl ( n ) ) : General Setting and the Case n = 3
نویسنده
چکیده
We construct representationsˆπ ¯ r of the quantum algebra U q (sl(n)) labelled by n − 1 complex numbers r i and acting in the space of formal power series of n(n − 1)/2 non-commuting variables. These variables generate a flag manifold of the matrix quantum group SL q (n) which is dual to U q (sl(n)). The conditions for reducibility ofˆπ ¯ r and the procedure for the construction of the q-difference intertwining operators are given. The representations and q-difference intertwining operators are given in the most explicit form for n = 3.
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تاریخ انتشار 1994