Graded simple Jordan superalgebras of growth one

Authors
Kac, VG Martinez, C Zelmanov, E
Citation
Vg. Kac et al., Graded simple Jordan superalgebras of growth one, MEM AM MATH, 150(711), 2001, pp. 1
Citations number
45
Categorie Soggetti
Mathematics
Journal title
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00659266 → ACNP
Volume
150
Issue
711
Year of publication
2001
Database
ISI
SICI code
0065-9266(200103)150:711<1:GSJSOG>2.0.ZU;2-P
Abstract
We classify graded simple Jordan superalgebras of growth one which correspo nd to the so called "superconformal algebras" via the Tits-Kantor-Koecher c onstruction. The superconformal algebras with a "hidden" Jordan structure are those of t ype K and the recently discovered Cheng-Kac superalgebras CK(6), We show th at Jordan superalgebras related to the type K are Kantor Doubles of some Jo rdan brackets on associative commutative superalgebras and list these brack ets.