Super Poisson-Lie structure on \(\text{SU}(mn)\) via \(\text{SL}(m|n, \mathbb C)^{\mathbb R}\)

DOI10.1016/j.geomphys.2006.04.002zbMath1169.17014OpenAlexW98316489MaRDI QIDQ864249

N. E. Zubov

Publication date: 13 February 2007

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2006.04.002

zbMATH Keywords

standard (graded) *-structurestandard (graded) real Baxter-Lie superalgebrastandard (graded) real Poisson-Lie supergroupstandard (graded) real supergroup

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Supermanifolds and graded manifolds (58A50) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Cites Work

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• A convexity theorem for Poisson actions of compact Lie groups
• QUASITRIANGULAR WZW MODEL
• IWASAWA DECOMPOSITION OF THE LIE SUPERGROUP SL(n,m,ℂ)
• Dressing transformations and Poisson group actions

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