Invariant theory of free bicommutative algebras

DOI10.1007/978-3-031-32707-0_15arXiv2210.08317OpenAlexW4385355185MaRDI QIDQ6200508

Vesselin Drensky

Publication date: 22 March 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.08317

zbMATH Keywords

noncommutative invariant theoryfree bicommutative algebras

Mathematics Subject Classification ID

Nonassociative rings and algebras (17-XX)

Cites Work

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• The algebraic and geometric classification of nilpotent bicommutative algebras
• Hamiltonian operators and algebraic structures related to them
• Trees, free right-symmetric algebras, free Novikov algebras and identities
• On free Gelfand-Dorfman-Novikov-Poisson algebras and a PBW theorem
• Noetherianity and Specht problem for varieties of bicommutative algebras
• Automorphisms of finitely generated relatively free bicommutative algebras
• Noncommutative invariant theory of symplectic and orthogonal groups
• Computing with rational symmetric functions and applications to invariant theory and PI-algebras
• Complete LR-structures on solvable Lie algebras
• LR-algebras
• Affine actions on nilpotent Lie groups
• Poincare series and a problem of S. Montgomery
• Polynomial identities of bicommutative algebras, Lie and Jordan elements
• Bicommutative algebras
• One-Generated Nilpotent Bicommutative Algebras
• Finite Unitary Reflection Groups
• Invariants of Finite Groups Generated by Reflections
• Gelfand-Kirillov dimension of bicommutative algebras

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