Establishes Bruhat decomposition for Σ_m wr Σ_d, constructs Steinberg variety realizing the group algebra in top Borel-Moore homology, and obtains geometric Springer correspondence identifying irreps with isotypic components of unconventional Springer fibers via type A geometry.
Iwahori, Generalized Tits system(Bruhat decomposition) on p -adic semisimple groups , Publ
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On the Springer correspondence for wreath products
Establishes Bruhat decomposition for Σ_m wr Σ_d, constructs Steinberg variety realizing the group algebra in top Borel-Moore homology, and obtains geometric Springer correspondence identifying irreps with isotypic components of unconventional Springer fibers via type A geometry.