Geometric representations of finite groups on real toric spaces
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Publication:5243003
DOI10.4134/JKMS.j180646zbMath1453.20021arXiv1704.08591OpenAlexW2997389364MaRDI QIDQ5243003
Suyoung Choi, Shizuo Kaji, Soojin Cho
Publication date: 8 November 2019
Full work available at URL: https://arxiv.org/abs/1704.08591
Combinatorial aspects of representation theory (05E10) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Representations of finite symmetric groups (20C30) Simplicial sets and complexes in algebraic topology (55U10)
Uses Software
Cites Work
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- On the cohomology and their torsion of real toric objects
- The characters of the wreath product group acting on the homology groups of the Dowling lattices
- Some combinatorial and algebraic properties of Coxeter complexes and Tits buildings
- Convex polytopes, Coxeter orbifolds and torus actions
- Combinatorics and topology of complements of hyperplanes
- Some aspects of groups acting on finite posets
- Representations of the hyperoctahedral groups
- The homology representations of the symmetric group on Cohen-Macaulay subposets of the partition lattice
- Some permutation representations of Weyl groups associated with the cohomology of toric varieties
- A character formula for the representation of a Weyl group in the cohomology of the associated toric variety
- The Betti numbers of real toric varieties associated to Weyl chambers of type \(B\)
- Young diagrams and intersection numbers for toric manifolds associated with Weyl chambers
- A new graph invariant arises in toric topology
- Homotopy decomposition of a suspended real toric space
- A decomposition of the group algebra of a finite Coxeter group
- On the Schur indices of characters of the exceptional Weyl groups
- The polyhedral product functor: A method of decomposition for moment-angle complexes, arrangements and related spaces
- The homology of real subspace arrangements
- The equivariant Euler characteristic of real Coxeter toric varieties
- Rational cohomology of the real Coxeter toric variety of type A
- The Cohomology Groups of Real Toric Varieties Associated with Weyl Chambers of TypesCandD
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