Codimension one connectedness of the graph of associated varieties

DOI10.2748/tmj/1466172770zbMath1354.22017arXiv1403.7982OpenAlexW1680179838MaRDI QIDQ312728

Akihito Wachi, Kyo Nishiyama, Peter E. Trapa

Publication date: 16 September 2016

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

Full work available at URL: https://arxiv.org/abs/1403.7982

zbMATH Keywords

unitary representationsnilpotent orbitdegenerate principal seriesassociated varietyderived functor moduleorbit graphsigned Young diagram

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (1)

Orbit embedding for double flag varieties and Steinberg maps

Cites Work

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• The singularities of the closures of nilpotent orbits in certain symmetric pairs
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• The local structure of characters
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• Conjugacy classes in linear groups
• Characteristic cycles and wave front cycles of representations of reductive Lie groups
• Richardson orbits for real classical groups
• Picard-Lefschetz theory and characters of a semisimple Lie group
• Derived functor modules arising as large irreducible constituents of degenerate principal series
• Two geometric character formulas for reductive Lie groups
• The associated variety of an induced representation
• Orbits and Representations Associated with Symmetric Spaces

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