Rota-Baxter operators on the simple Jordan superalgebra \(D_t \)

DOI10.1134/S0037446622040048zbMath1503.17031OpenAlexW4288061039WikidataQ114075214 ScholiaQ114075214MaRDI QIDQ2160178

T. A. Bolotina, Vsevolod Yur'evich Gubarev

Publication date: 3 August 2022

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446622040048

zbMATH Keywords

automorphismssubalgebrasJordan superalgebraRota-Baxter operator

Mathematics Subject Classification ID

Super structures (17C70) Jordan algebras (algebras, triples and pairs) (17C99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An analytic problem whose solution follows from a simple algebraic identity
• Maximal subalgebras of Jordan superalgebras
• Modular representations of the Jordan superalgebras \(D(t)\) and \(K_3\)
• Rota-Baxter operators on quadratic algebras
• Embedding of dendriform algebras into Rota-Baxter algebras
• Rota–Baxter operators on a sum of fields
• Classification of simple z-graded lie superalgebras and simple jordan superalgebras
• The Tits Construction and the Exceptional Simple Classical Lie Superalgebras
• Decompositions of algebras and post-associative algebra structures
• Second cohomology group of the finite-dimensional simple Jordan superalgebra 𝒟t, t≠0
• Splitting of Operations, Manin Products, and Rota–Baxter Operators
• The Kac Jordan superalgebra: automorphisms and maximal subalgebras
• Unital bimodules over the simple Jordan superalgebra 𝐷(𝑡)
• Baxter algebras and combinatorial identities. I
• LIE GROUPS WITH COMMUTING AND ANTICOMMUTING PARAMETERS
• ON THE FINITE HILBERT TRANSFORMATION
• Lie superalgebras
• Solutions of the classical Yang-Baxter equation for simple Lie algebras

This page was built for publication: Rota-Baxter operators on the simple Jordan superalgebra \(D_t \)