Automorphisms of Borcherds superalgebras and fixed point subalgebras

✍ Scribed by Jae-Hoon Kwon

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 333 KB
• Volume: 259
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1016/s0021-8693(02)00574-4

✦ Synopsis

Let g be a Borcherds superalgebra and let ω be a finite order automorphism of g satisfying certain conditions. We prove that the fixed point subalgebra g ω is equal to a Borcherds superalgebra. We also compute the trace of ω on g from the twisted denominator identity of g, and derive closed form formula for root multiplicities of g ω .