Clifford Algebras as Twisted Group Algebras and the Arf Invariant
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-018-0862-y
Abstract: Some connections between quadratic forms over the field of two elements, Clifford algebras of quadratic forms over the real numbers, real graded division algebras, and twisted group algebras will be highlighted. This allows to revisit… read more here.
Keywords: algebras twisted; arf invariant; group algebras; twisted group ... See more keywords
Representations of twisted toroidal Lie algebras from twisted modules over vertex algebras
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0028122
Abstract: Given a simple finite-dimensional Lie algebra and an automorphism of finite order, one defines the notion of a twisted toroidal Lie algebra. In this paper, we construct representations of twisted toroidal Lie algebras from twisted… read more here.
Keywords: algebras twisted; lie; representations twisted; lie algebras ... See more keywords