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| On the N = 1 Bondi-Metzner-Sachs Lie Conformal Superalgebra |
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Citation： |
Wei WANG · Dong LIU · Chunguang XIA.On the N = 1 Bondi-Metzner-Sachs Lie Conformal Superalgebra[J].Chinese Annals of Mathematics B,2025,46(6):825~874 |
| Page view： 231
Net amount： 120 |
Authors： |
Wei WANG · Dong LIU · Chunguang XIA; |
Foundation： |
This work was supported by the National Natural Science Foundation of China (No. 12361006), the
Zhejiang Provincial Natural Science Foundation of China (No. ZCLMS25A0101) and the Fundamental
Research Funds for the Central Universities (No. 2024KYJD2006). |
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| Abstract： |
This paper constructs a finite Lie conformal superalgebra R associated to
the N = 1 Bondi-Metzner-Sachs (BMS for short) superalgebra. The authors completely
determine conformal derivations, the automorphism group, and the second cohomology
with coefficients in trivial module. They also classify free conformal modules of rank
(1 + 1) and finite irreducible conformal modules over R. |
Keywords： |
Conformal derivation, Automorphism, Second cohomology, Conformal
module |
Classification： |
17B65, 17B68, 17B69, 17B70, 81R10 |
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