Character factors through homotopy
نویسنده
چکیده
We bring a linkage from representation theory of Lie groups to homotpy theory for maps between flag manifolds. As applications we derive from representation theory abundant families of homotopy classes of maps between flag manifolds whose induced cohomology homomorphisms can be read from the characters of the representations. 2000 Mathematical Subject Classification: 14F35 (22E46, 57R22).
منابع مشابه
Daniel Matei And
We study the homotopy types of complements of arrangements of n transverse planes in R, obtaining a complete classification for n ≤ 6, and lower bounds for the number of homotopy types in general. Furthermore, we show that the homotopy type of a 2-arrangement in R is not determined by the cohomology ring, thereby answering a question of Ziegler. The invariants that we use are derived from the c...
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