Cohomology of Subregular Tilting Modules for Small Quantum Groups

Wiley - 2002
Viktor Ostrik1
1Independent Moscow University, Moscow, Russia

Tóm tắt

Let U be a quantumgroup with divid d powers at root ofunity constructed froma rootsystem R .Let u U b th small quantumgroup.Th cohomologyof u with trivial coefficients was computed by Ginzburg and Kumar.It turns out to be isomorphic to the functions algebra of the nilpotent cone of a semisimpl algebraic group with root system R .In this not we calculate cohomology of u with coefficients in simplest reducible tilting modul with nontrivial cohomology.It appears to b isomorphic to th functions algebra of th closure of the subregular nilpotent orbit.

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Tài liệu tham khảo

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