An Order-reversing Duality Map for Conjugacy Classes in Lusztig’s Canonical Quotient
نویسنده
چکیده
We define a partial order on the set No,c̄ of pairs (O, C), where O is a nilpotent orbit and C is a conjugacy class in Ā(O), Lusztig’s canonical quotient of A(O). We then show that there is a unique order-reversing duality map No,c̄ → LNo,c̄ that has certain properties analogous to those of the original Lusztig-Spaltenstein duality map. This generalizes work of E. Sommers.
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