Groebner-Shirshov basis of the universal enveloping Rota-Baxter algebra of a Lie algebra

zbMath1430.17013arXiv1602.07409MaRDI QIDQ4604074

Vsevolod Yur'evich Gubarev, Pavel Sergeevich Kolesnikov

Publication date: 23 February 2018

Full work available at URL: https://arxiv.org/abs/1602.07409

zbMATH Keywords

free Lie algebraRota-Baxter operatoruniversal envelope

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Identities, free Lie (super)algebras (17B01)

Related Items (7)

Gröbner–Shirshov bases for Lie Ω-algebras and free Rota–Baxter Lie algebras ⋮ Operator identities on Lie algebras, rewriting systems and Gröbner-Shirshov bases ⋮ Free Lie differential Rota–Baxter algebras and Gröbner–Shirshov bases ⋮ Gröbner-Shirshov bases for free Gelfand-Dorfman-Novokov algebras and for right ideals of free right Leibniz algebras ⋮ Universal enveloping Lie Rota-Baxter algebras of pre-Lie and post-Lie algebras ⋮ Universal enveloping commutative Rota-Baxter algebras of pre- and post-commutative algebras ⋮ Universal enveloping associative Rota-Baxter algebras of preassociative and postassociative algebra

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