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Stein's method and the multivariate CLT for traces of powers on the classical compact groups
random matrices compact Lie groups Haar measure traces of powers Stein’s method
2011/2/22
Let Mn be a random element of the unitary, special orthogonal, or unitary symplectic groups, distributed according to Haar measure. By a classical result of Diaconis and Shahshahani, for large matrix ...
Symmetric quivers, invariant theory, and saturation theorems for the classical groups
Symmetric quivers invariant theory saturation theorems for the classical groups
2010/12/7
Let G denote either a special orthogonal group or a symplectic group defined over the complex
numbers. We prove the following saturation result for G: given dominant weights λ1, . . . , λr
such that...
Constructive homomorphisms for classical groups
Constructive homomorphisms classical groups
2010/12/1
Let GL(V ) be a quasisimple classical group in its natural representation over a finite vector space V , and let = NGL(V )().
Hartley´s Theorem on Representations of the General Linear Groups and Classical Groups
subgroups of classical groups representation theory of algebraic groups
2010/2/26
We suggest a new proof of Hartley's theorem on representations of the general linear groups GLn(K) where K is a field. Let H be a subgroup of GLn(K) and E the natural GLn(K)-module. Suppose that the r...