(𝔰𝔩₂)-Invariant Forms on Their Modules

Abstract

The -invariant form on any finite dimensional semisimple as well as projective -module, is explicitly constructed up to congruence in this paper.

Key Words:

• -invariant form
• Quantum group

1991 Mathematics Subject Classification:

• 17B10
• 81R50

Acknowledgments

This work was done while the first author visited Morningside Center of Mathematics, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences during April–September, 2001.

The work and the first author are supported partially by the National Science Foundation of China (10271014). The second author was supported by the Young Academic Backbone Foundation of Shandong Province.

Notes

^#Communicated by R. Wisbauer.