The geometry of algebraic groups

DOI10.1016/0001-8708(76)90170-5zbMath0327.14015OpenAlexW2020684713MaRDI QIDQ1226138

Birger Iversen

Publication date: 1976

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(76)90170-5

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Grassmannians, Schubert varieties, flag manifolds (14M15) Divisors, linear systems, invertible sheaves (14C20) Representations of Lie and linear algebraic groups over local fields (22E50) Algebraic groups (14L99)

Related Items

Character varieties of free groups are Gorenstein but not always factorial, Cohomology of G/B in characteristic p, C₂ building and projective space, Cohomologie des fibrés en droites sur les compactifications des groupes réductifs, Cohomology of line bundles on $G/B$, K‐theory of regular compactification bundles, Vanishing theorems and induced representations, On Galois cohomology of connected reductive groups and Kottwitz exact sequence, Algebraic groups, New strings for old Veneziano amplitudes. III: Symplectic treatment, The Grothendieck-Cousin complex of an induced representation, Class Groups of Rank One Semisimple Monoids, Modular representations of finite monoids of Lie type, Geometric interplay between function subspaces and their rings of differential operators, Intersection complexes and unramified 𝐿-factors, Levi-curvature of manifolds with a Stein rational fibration, Grassmanniennes affines tordues sur les entiers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homogeneous vector bundles
• On Picard groups of algebraic fibre spaces
• Tabellen zu den einfachen Lie Gruppen und ihren Darstellungen
• Sur la formule des caractères de H. Weyl
• Groupes de Grothendieck des schemas en groupes reductifs deployes
• Une démonstration algébrique d'un théorème de Bott
• A fixed point formula for action of tori on algebraic varieties
• Some Basic Theorems on Algebraic Groups
• Toroidal Algebraic Groups
• Diagonalizably linearized coherent sheaves
• Projective Representation of Algebraic Linear Groups of Transformations
• Schémas en groupes réductifs
• Varieties Defined by Quadratic Equations