Drinfel'd Twist Deformations of the Super-Virasoro Algebras

Abstract

In this article, we describe nonstandard quantum deformations of the centerless super-Virasoro algebras. Using the Drinfel'd twist quantization technique, we obtain the deformed coproduct and antipode. Hence we get a family of noncommutative and noncocommutative Hopf superalgebras. As a by-product, we also obtain two combinational identities.

Key Words:

• Drinfel'd twist deformation
• Lie superbialgebra
• The super-Virasoro algebras

2000 Mathematics Subject Classification:

• 17B35
• 17B37
• 17B62
• 17B68

ACKNOWLEDGMENTS

The author would like to thank Prof. Yucai Su for help and suggestions. This work is supported by the NNSFC (Grants: 10825101, 11101266, 11071159), and the Science & Technology Program of Shanghai Maritime Museum.

Notes

Communicated by K. Mistra.