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Symmetric quivers, invariant theory, and saturation theorems for the classical groups
Symmetric quivers invariant theory saturation theorems for the classical groups
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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
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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
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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...