Gröbner-Shirshov basis of the universal enveloping Rota-Baxter algebra of a Lie algebra Full article
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Journal of Lie Theory
ISSN: 0949-5932 |
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| Output data | Year: 2017, Volume: 27, Number: 3, Pages: 887–905 Pages count : 9 | ||||
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Abstract:
This paper is devoted to the study of the combinatorial structure of Lie algebras with a Rota-Baxter operator. The main result the authors obtain is an analogue of the Poincaré-Birkhoff-Witt (PBW) Theorem for the universal enveloping Rota-Baxter Lie algebra URB(L) of an arbitrary Lie algebra L.
Cite:
Kolesnikov P.
, Gubarev V.
Gröbner-Shirshov basis of the universal enveloping Rota-Baxter algebra of a Lie algebra
Journal of Lie Theory. 2017. V.27. N3. P.887–905.
Gröbner-Shirshov basis of the universal enveloping Rota-Baxter algebra of a Lie algebra
Journal of Lie Theory. 2017. V.27. N3. P.887–905.
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