{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T14:59:13Z","timestamp":1773845953760,"version":"3.50.1"},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[1998,8]]},"abstract":"<jats:p> This note is devoted to a more detailed description of one of the five simple exceptional Lie superalgebras of vector fields, [Formula: see text] a subalgebra of [Formula: see text]. We derive differential equations for its elements, and solve these equations. Hence we get an exact form for the elements of [Formula: see text]. Moreover we realize [Formula: see text] by \"glued\" pairs of generating functions on a (3\u22233)-dimensional periplectic (odd symplectic) supermanifold and describe the bracket explicitly. <\/jats:p>","DOI":"10.1142\/s0218196798000235","type":"journal-article","created":{"date-parts":[[2003,8,1]],"date-time":"2003-08-01T07:09:23Z","timestamp":1059721763000},"page":"479-495","source":"Crossref","is-referenced-by-count":8,"title":["Explicit Bracket in an Exceptional Simple Lie Superalgebra"],"prefix":"10.1142","volume":"08","author":[{"given":"Irina","family":"Shchepochkina","sequence":"first","affiliation":[{"name":"Correspondence: c\/o D. Leites, Department of Mathematics, University of Stockholm, Roslagsv, 101, Kr\u00e4ftriket hus 6, S-106 91, Stockholm, Sweden"}]},{"given":"Gerhard","family":"Post","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, University Twente, P.O. Box 217, AE Enschede, The Netherlands"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196798000235","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T21:54:37Z","timestamp":1565128477000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196798000235"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,8]]},"references-count":0,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[1998,8]]}},"alternative-id":["10.1142\/S0218196798000235"],"URL":"https:\/\/doi.org\/10.1142\/s0218196798000235","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[1998,8]]}}}