The split building of a reductive group
From MaRDI portal
Publication:1318080
DOI10.1007/BF01445124zbMath0795.20026OpenAlexW2028451127MaRDI QIDQ1318080
Leanne J. Rylands, Gustav Isaac Lehrer
Publication date: 18 September 1994
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/165104
locally finite posetsCohen-Macaulay propertysphericalconnected reductive linear algebraic groupTits buildingsplit buildingfibre spacebouquet of spheresreduced homology
Linear algebraic groups over arbitrary fields (20G15) Classical groups (algebro-geometric aspects) (14L35) Groups with a (BN)-pair; buildings (20E42) Algebraic aspects of posets (06A11)
Related Items
Categorifications of rational Hilbert series and characters of \(\boldsymbol{FS}^{\mathrm{op}}\) modules, A vanishing theorem for hyperplane cohomology, Homotopy properties of certain complexes associated to spherical buildings.
Cites Work
- Unnamed Item
- Construction of universal bundles. II
- Topological results in combinatorics
- Homology stability for \(GL_n\) of a Dedekind domain
- Spherical buildings and the character of the Steinberg representation
- Cohen-Macaulay ordered sets
- Spherical posets and homology stability for \(O_ n,\)//n
- Buildings of spherical type and finite BN-pairs
- Homotopy properties of the poset of nontrivial p-subgroups of a group
- Groupes reductifs
- Shellable and Cohen-Macaulay Partially Ordered Sets
- Homology representations of finite groups of Lie type
- A New Proof of a Theorem of Solomon-Tits
- Representations of classical groups on the homology of their split buildings
