REPRESENTATIONS OF FINITE-DIMENSIONAL JORDAN SUPERALGEBRAS OF POISSONBRACKETS

Authors
STERN AS
Citation
As. Stern, REPRESENTATIONS OF FINITE-DIMENSIONAL JORDAN SUPERALGEBRAS OF POISSONBRACKETS, Communications in algebra, 23(5), 1995, pp. 1815-1823
Citations number
9
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Communications in algebra → ACNP
ISSN journal
00927872
Volume
23
Issue
5
Year of publication
1995
Pages
1815 - 1823
Database
ISI
SICI code
0092-7872(1995)23:5<1815:ROFJSO>2.0.ZU;2-0
Abstract
Irreducible representations of finite dimensional Jordan superalgebras of Poisson brackets over algebraically closed field of zero character istic are examined. If the number of Grassmann generators n > 4 then s uch a bimodule is isomorphic to regular bimodule or regular bimodule w ith opposite eveness of homogeneous elements.