| Ado's Theorem |
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Information AboutAdo's Theorem |
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While for the Lie algebras associated to Classical Group s there is nothing new in this, the general case is a deeper result. Applied to the real Lie algebra of a Lie Group ''G'', it shows not that ''G'' has a faithful linear representation (which is not true in general), but that ''G'' always has a linear representation that is a Local Isomorphism with a Linear Group . It was proved in 1935 by Igor Dmitrievich Ado of Kazan State University , a student of Nikolai Chebotaryov . The restriction on the characteristic was removed later, by Iwasawa and Harish-Chandra. REFERENCES
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