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The Center of the Category of (g, K)-modules (CROSBI ID 126112)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Muić, Goran ; Savin, Gordan
The Center of the Category of (g, K)-modules // Transactions of the American mathematical society, 360 (2008), 6; 3071-3092
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Muić, Goran ; Savin, Gordan
engleski
The Center of the Category of (g, K)-modules
Let G be a semi-simple connected Lie group and fix K, a maximal compact subgroup. Let g and k be the complexified Lie algebras of G and K. Let U (g) be the enveloping algebra of g and let M(g, K) be the category of (g, K)-modules. Then M(g, K) is an Abelian category. In the paper the authors describe the center Z (g, K) of the category M(g, K).
semi-simple Lie groups; (g; K)-modules; center of category
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