Orbits, rings of invariants and Weyl groups for classical \(\Theta\)-groups

DOI10.2748/tmj/1294170345zbMath1242.17024OpenAlexW2092431448MaRDI QIDQ625600

Takuya Ohta

Publication date: 23 February 2011

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1294170345

zbMATH Keywords

Weyl groupsrings of invariantsVinberg theta-groups

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Actions of groups on commutative rings; invariant theory (13A50) Group actions on affine varieties (14R20)

Related Items (1)

An effective method to compute closure ordering for nilpotent orbits of \(\theta \)-representations

Cites Work

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• An inclusion between sets of orbits and surjectivity of the restriction map of rings of invariants
• The closure of nilpotent orbits in the classical symmetric pairs and their singularities
• Adherences d'orbite et invariants
• On invariant theory of \(\theta\)-groups
• On the geometry of conjugacy classes in classical groups
• Dual pairs and Kostant-Sekiguchi correspondence. II: Classification of nilpotent elements
• Nilpotent orbits of \(\mathbb Z_4\)-graded Lie algebra and geometry of moment maps associated to the dual pair \((U(p,q),U(r,s))\)
• THE WEYL GROUP OF A GRADED LIE ALGEBRA
• Finite Unitary Reflection Groups

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