Oberseminar Geometrie, Gruppen und Modelltheorie:
Jacob Greenstein (University of California Reverside): Koszul algebras associated with categories of representations of current
algebras
Thursday, 02.09.2010 11:00 im Raum N 3
Let g be a simple finite dimensional Lie algebra.
The category of graded finite dimensional modules over the current algebra
g\otimes C[t] is not semi-simple and is known to admit several interesting
infinite families of indecomposable objects, in particular the classical limits
of the famous Kirillov-Reshetikhin modules. For g of classical types, the
latter can be regarded as modules over the truncated current algebra g\tensor
C[t]/(t ²). The category of graded representations of that algebra is "almost
semi-simple". In particular, it turns out that endomorphism algebras of
projective generators of suitable Serre subcategories are Koszul.
Angelegt am 26.08.2010 von N. N
Geändert am 27.08.2010 von N. N
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