Abstract
| Original language | English |
|---|---|
| Place of Publication | Amsterdam |
| Publisher | C.W.I. |
| Number of pages | 8 |
| Publication status | Published - 1995 |
Publication series
| Name | Report / Department of Algebra, Analysis and Geometry |
|---|---|
| Publisher | CWI |
| No. | AM-R9515 |
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Keywords
- METIS-141351
- IR-102315
Cite this
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Differential Hopf algebra structures on the universal enveloping algebra of a Lie algebra. / van den Hijligenberg, N.W.; van den Hijligenberg, N.W.; Martini, Ruud.
Amsterdam : C.W.I., 1995. 8 p. (Report / Department of Algebra, Analysis and Geometry; No. AM-R9515).Research output: Book/Report › Report › Professional
TY - BOOK
T1 - Differential Hopf algebra structures on the universal enveloping algebra of a Lie algebra
AU - van den Hijligenberg, N.W.
AU - van den Hijligenberg, N.W.
AU - Martini, Ruud
PY - 1995
Y1 - 1995
N2 - We discuss a method to construct a De Rham complex (differential algebra) of Poincar'e-Birkhoff-Witt-type on the universal enveloping algebra of a Lie algebra $g$. We determine the cases in which this gives rise to 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 colour Lie superalgebras.
AB - We discuss a method to construct a De Rham complex (differential algebra) of Poincar'e-Birkhoff-Witt-type on the universal enveloping algebra of a Lie algebra $g$. We determine the cases in which this gives rise to 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 colour Lie superalgebras.
KW - METIS-141351
KW - IR-102315
M3 - Report
T3 - Report / Department of Algebra, Analysis and Geometry
BT - Differential Hopf algebra structures on the universal enveloping algebra of a Lie algebra
PB - C.W.I.
CY - Amsterdam
ER -