Code algebras, axial algebras and VOAs
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2018.09.038
Abstract: Abstract Inspired by code vertex operator algebras (VOAs) and their representation theory, we define code algebras, a new class of commutative non-associative algebras constructed from binary linear codes. Let C be a binary linear code… read more here.
Keywords: algebras axial; algebra; code; code algebras ... See more keywords
Axes of Jordan Type in Non-commutative Algebras
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498823500949
Abstract: The Peirce decomposition of a Jordan algebra with respect to an idempotent is well known. This decomposition was taken one step further and generalized recently by Hall, Rehren and Shpectorov, with their introduction of axial… read more here.
Keywords: decomposition; axes jordan; jordan type; type non ... See more keywords