Germs Associated to Regular Unipotent Classes in p-adic SL(n)
Joe Repka
Abstract
Open-access reader
Joe Repka
Abstract
Open-access reader
Abstract For an elliptic torus in SL(n), explicit formulae are given for the germs which are associated to the regular unipotent conjugacy classes. Using them, a formula is found for the germ associated to the "subregular" class, the class whose Jordan canonical form contains a 1 x 1 and an (n - 1) x (n - 1) block.
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Abstract For an elliptic torus in SL(n), explicit formulae are given for the germs which are associated to the regular unipotent conjugacy classes. Using them, a formula is found for the germ associated to the "subregular" class, the class whose Jordan canonical form contains a 1 x 1 and an (n - 1) x (n - 1) block.
Key concepts: Unipotent, Mathematics, Conjugacy class, Germ, Pure mathematics, Class (philosophy), Torus, Block (permutation group theory)