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Ado, Igor D. (1935), "Note on the representation of finite continuous groups by means of linear substitutions",
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there is nothing new in this, the general case is a deeper result. Applied to the real Lie algebra of a
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Akademiya Nauk SSSR i
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has a faithful linear representation (which is not true in general), but rather that
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The restriction on the characteristic was later removed by
272:(1949), "Faithful representations of Lie algebras",
36:Ado's theorem states that every finite-dimensional
249:(1948), "On the representation of Lie algebras",
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328:Proceedings of the American Mathematical Society
189:"The representation of Lie algebras by matrices"
24:is a theorem characterizing finite-dimensional
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155:always has a linear representation that is a
368:, comments and a proof of Ado's theorem in
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62:. More precisely, the theorem states that
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136:While for the Lie algebras associated to
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105:The theorem was proved in 1935 by
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342:10.1090/s0002-9939-1966-0194482-0
251:Japanese Journal of Mathematics
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76:finite-dimensional vector space
323:"An addition to Ado's theorem"
175:Izv. Fiz.-Mat. Obsch. (Kazan')
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147:, it does not imply that
395:Theorems about algebras
83:faithful representation
111:Kazan State University
275:Annals of Mathematics
187:Ado, Igor D. (1947),
183:. (Russian language)
68:linear representation
128:paper for a proof).
124:(see also the below
107:Igor Dmitrievich Ado
319:Hochschild, Gerhard
115:Nikolai Chebotaryov
52:characteristic zero
355:, pp. 202–203
126:Gerhard Hochschild
60:commutator bracket
278:, Second Series,
247:Iwasawa, Kenkichi
157:local isomorphism
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335:: 531–533,
257:: 405–426,
38:Lie algebra
384:Categories
374:What's new
167:References
58:under the
296:0003-486X
282:: 68–76,
232:0065-9290
226:(2): 21,
205:0042-1316
142:Lie group
85:, making
32:Statement
372:'s blog
321:(1966),
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159:with a
101:History
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