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Motivic Donaldson-Thomas invariants and McKay correspondence
Motivic Donaldson-Thomas invariants McKay correspondence Algebraic Geometry
2011/9/29
Abstract: Let $G\subset SL_2(C)\subset SL_3(C)$ be a finite group. We compute motivic Pandharipande-Thomas and Donaldson-Thomas invariants of the crepant resolution $Hilb^G(C^3)$ of $C^3/G$ generalizi...
The McKay conjecture and Brauer's induction theorem
McKay conjecture Brauer's induction theorem
2010/12/1
Let G be an arbitrary finite group. The McKay conjecture asserts that G and the normaliser
NG(P) of a Sylow p-subgroup P in G have the same number of characters of degree not divisible
by p (that is...
Inductive McKay Condition in defining Characteristic
Inductive McKay Condition defining Characteristic
2010/11/29
We reformulate the inductive McKay condition, from Isaacs–Malle–Navarro [IMN07], and apply the new criterion to simple groups of Lie type, when the prime is the defining characteristic p. Thereby we m...
McKay箭图与m-Cartan矩阵
McKay箭图 $m $-Cartan矩阵 有限群 线性群
2009/8/31
引入$m$-Cartan矩阵, 并指出与Euclid图的Cartan矩阵的二次型的某些性质可以推广到McKay箭图的$m $-Cartan矩阵. 还刻画了特殊线性群有限Abel子群的McKay箭图.