𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Gröbner-Shirshov bases for Rota-Baxter algebras

✍ Scribed by L.A. Bokut; Yu. Chen; X. Deng

Publisher
SP MAIK Nauka/Interperiodica
Year
2010
Tongue
English
Weight
201 KB
Volume
51
Category
Article
ISSN
0037-4466

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Hecke algebras, Specht modules and Gröbn
Hecke algebras, Specht modules and Gröbner–Shirshov bases
✍ Seok-Jin Kang; In-Sok Lee; Kyu-Hwan Lee; Hyekyung Oh 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 253 KB

In this paper, we study the structure of Specht modules over Hecke algebras using the Gröbner-Shirshov basis theory for the representations of associative algebras. The Gröbner-Shirshov basis theory enables us to construct Specht modules in terms of generators and relations. Given a Specht module S

Gröbner–Shirshov Bases for Lie Superalge
Gröbner–Shirshov Bases for Lie Superalgebras and Their Universal Enveloping Algebras
✍ Leonid A Bokut; Seok-Jin Kang; Kyu-Hwan Lee; Peter Malcolmson 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 231 KB

We show that a set of monic polynomials in a free Lie superalgebra is a Grobner᎐Shirshov basis for a Lie superalgebra if and only if it is a Grobner᎐Shirshov basis for its universal enveloping algebra. We investigate the structure of Grobner᎐Shirshov bases for Kac᎐Moody superalgebras and give ëxplic