DIFFERENTIAL HOPF ALGEBRA STRUCTURES ON THE UNIVERSAL ENVELOPING ALGEBRA OF A LIE-ALGEBRA

Authors
VANDENHIJLIGENBERG N MARTINI R
Citation
N. Vandenhijligenberg et R. Martini, DIFFERENTIAL HOPF ALGEBRA STRUCTURES ON THE UNIVERSAL ENVELOPING ALGEBRA OF A LIE-ALGEBRA, Journal of mathematical physics, 37(1), 1996, pp. 524-532
Citations number
13
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
37
Issue
1
Year of publication
1996
Pages
524 - 532
Database
ISI
SICI code
0022-2488(1996)37:1<524:DHASOT>2.0.ZU;2-T
Abstract
We discuss a method to construct a De Rham complex (differential algeb ra) of Poincare-Birkhoff-Witt type on the universal enveloping algebra of a Lie algebra g. We determine the cases in which this gives rise t o a differential Hopf algebra that naturally extends the Hopf algebra structure of U(g) The construction of such differential structures is interpreted in terms of color Lie superalgebras. (C) 1996 American Ins titute of Physics.