Maps between classifying spaces of Kac--Moody groups

DOI10.1016/S0001-8708(02)00065-8zbMath1029.55013OpenAlexW1988209552MaRDI QIDQ1404972

Jaume Aguadé, Albert Ruiz

Publication date: 25 August 2003

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

Full work available at URL: https://doi.org/10.1016/s0001-8708(02)00065-8

zbMATH Keywords

classifying spaceself-mapsKac-Moody group

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Maps between classifying spaces in algebraic topology (55R37)

Related Items

Rank Two Integral Representations of the Infinite Dihedral Group ⋮ Recognizing nullhomotopic maps into the classifying space of a Kac-Moody group ⋮ On stratification for spaces with noetherian mod p cohomology ⋮ Cohomology of Kac-Moody groups over a finite field. ⋮ Discrete approximations for complex Kac-Moody groups

Cites Work

• Classifying spaces of Kač-Moody groups
• Constructing modular classifying spaces
• Homotopy classification of self-maps of \(BG\) via \(G\)-actions. II
• On automorphisms of Kac-Moody algebras and groups
• On the topology of Kac-Moody groups
• Cohomology of classifying spaces of central quotients of rank two Kac-Moody groups
• The cohomology of quotients of classical groups
• Homotopy limits, completions and localizations
• Unstable Adams operations on classifying spaces
• Infinite flag varieties and conjugacy theorems
• On the ‘Classifying Space’ Functor for Compact Lie Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item