Regular representation of the group \(\mathrm{GL}(N, \mathbb{R})\): factorization, Casimir operators and Toda chain

DOI10.1007/s10958-022-05993-8zbMath1502.22006OpenAlexW4284891326WikidataQ114225146 ScholiaQ114225146MaRDI QIDQ2160258

N. M. Belousov, Sergey E. Derkachov

Publication date: 3 August 2022

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-05993-8

zbMATH Keywords

Toda chainregular representationCasimir operators

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) General properties and structure of real Lie groups (22E15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On rational symplectic parametrization of the coadjoint orbit of $\mathrm{GL}(N)$. Diagonalizable case
• General solution of the Yang–Baxter equation with symmetry group $\mathrm {SL}(\mathit {n},\mathbb {C})$
• Quantum Toda Lattice: a Challenge for Representation Theory
• Theory of Groups and Symmetries

This page was built for publication: Regular representation of the group \(\mathrm{GL}(N, \mathbb{R})\): factorization, Casimir operators and Toda chain