On the singularities of Mishchenko-Fomenko systems
From MaRDI portal
Publication:6185770
DOI10.1007/s00031-022-09718-8arXiv2103.14168OpenAlexW4220928216MaRDI QIDQ6185770
Publication date: 8 January 2024
Published in: Transformation Groups (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.14168
Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Lie algebras and Lie superalgebras (17Bxx) Algebraic groups (14Lxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Algebraic geometry and stability for integrable systems
- The bifurcation diagram and the discriminant of rigid body-type integrable systems on the Lie algebras \(\operatorname{so}(2n + 1)\), \(\operatorname{sp}(2n)\), and \(\operatorname{sl}(n)\)
- Bi-Hamiltonian structures and singularities of integrable systems
- The argument shift method and maximal commutative subalgebras of Poisson algebras
- Irregular and singular loci of commuting varieties
- Commutative families of functions related to consistent Poisson brackets
- Note on the integration of Euler's equations of the dynamics of an \(n\)-dimensional rigid body
- Über Bahnen und deren Deformationen bei linearen Aktionen reduktiver Gruppen
- A remark on Mishchenko-Fomenko algebras and regular sequences
- Abstract integrable systems on hyperkähler manifolds arising from Slodowy slices
- Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties
- On the fibres of Mishchenko-Fomenko systems
- Some remarks about Mishchenko-Fomenko subalgebras
- Hessenberg varieties, Slodowy slices, and integrable systems
- The derived algebra of a stabilizer, families of coadjoint orbits, and sheets
- Bifurcation diagram and the discriminant of a spectral curve of integrable systems on Lie algebras
- ON CERTAIN COMMUTATIVE SUBALGEBRAS OF A UNIVERSAL ENVELOPING ALGEBRA
- COMPATIBLE POISSON BRACKETS ON LIE ALGEBRAS AND COMPLETENESS OF FAMILIES OF FUNCTIONS IN INVOLUTION
- EULER EQUATIONS ON FINITE-DIMENSIONAL LIE GROUPS
- Geometry of translations of invariants on semisimple Lie algebras
- Quantisation and nilpotent limits of Mishchenko–Fomenko subalgebras
- Lie Group Representations on Polynomial Rings
- On the Ring of Invariant Polynomials on a Semisimple Lie Algebra
This page was built for publication: On the singularities of Mishchenko-Fomenko systems