Unipotent invariant matrices

DOI10.1016/J.LAA.2013.02.022zbMath1281.15033arXiv1010.2187OpenAlexW2963129556MaRDI QIDQ389609

Michael Joyce, Mahir Bilen Can, Roger E. Howe

Publication date: 21 January 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.2187

zbMATH Keywords

fixed pointsrankdeterminantbilinear formSpringer fibers\(\mathfrak{sl}_2\)-weightsgeneric singular locussymmetric and skew-symmetric matricesunipotent operator

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Hermitian, skew-Hermitian, and related matrices (15B57) Semisimple Lie groups and their representations (22E46) Quadratic and bilinear forms, inner products (15A63) Vector spaces, linear dependence, rank, lineability (15A03) Orthogonal matrices (15B10) Group actions on combinatorial structures (05E18)

Related Items (1)

An analogue of Springer fibers in certain wonderful compactifications

Cites Work

• Unnamed Item
• Unnamed Item
• Closures of Steinberg fibers in twisted wonderful compactifications
• An occurrence of the Robinson-Schensted correspondence
• On the fixed point set of a unipotent element on the variety of Borel subgroups
• The fixed point subvarieties of unipotent transformations on generalized flag varieties and the Green functions. Combinatorial and cohomological treatments centering \(GL_ n\).
• Green polynomials and singularities of unipotent classes
• On the desingularization of the unipotent variety
• Trigonometric sums, Green functions of finite groups and representations of Weyl groups
• A construction of representations of Weyl groups
• Singular supports for character sheaves on a group compactification.
• Unipotent variety in the group compactification.
• Weak order on complete quadrics
• Symmetry, Representations, and Invariants

This page was built for publication: Unipotent invariant matrices