Back to Search
Start Over
Free Lie differential Rota–Baxter algebras and Gröbner–Shirshov bases
- Source :
- International Journal of Algebra and Computation. 27:1041-1060
- Publication Year :
- 2017
- Publisher :
- World Scientific Pub Co Pte Lt, 2017.
-
Abstract
- We establish the Gröbner–Shirshov bases theory for Lie differential [Formula: see text]-algebras. As an application, we give a linear basis of a free Lie differential Rota–Baxter algebra on a set.
- Subjects :
- Pure mathematics
General Mathematics
Simple Lie group
Mathematics::Rings and Algebras
010102 general mathematics
Killing form
01 natural sciences
Affine Lie algebra
Lie conformal algebra
Graded Lie algebra
Algebra
Adjoint representation of a Lie algebra
Representation of a Lie group
0103 physical sciences
Fundamental representation
010307 mathematical physics
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 17936500 and 02181967
- Volume :
- 27
- Database :
- OpenAIRE
- Journal :
- International Journal of Algebra and Computation
- Accession number :
- edsair.doi...........e0d4beb5eaac6ce663a190819d8ebaac
- Full Text :
- https://doi.org/10.1142/s0218196717500485