A construction of symmetric linear functions of the restricted quantum group \overline{U}_q (sl_2)

Abstract

In this paper we construct all the primitive idempotents of the restricted quantum group ${\overline{U}}_q(s{l}_2)$ and also determine the multiplication rules among a basis given by the action of generators of ${\bar{U}}_q(s{l}_2)$ to the idempotents. By using this result we construct a basis of the space of symmetric linear functions of ${\overline{U}}_q(s{l}_2)$ and determine the decomposition of the integral of the dual of ${\overline{U}}_q(s{l}_2)$ twisted by the balancing element to the basis of the space of symmetric linear functions.

17 pages

References in corpus (1)

• Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center

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