Hall Algebra in a Root Category
نویسنده
چکیده
In order to realize the quantum group in a global way, the Hall algebra of a root category (which is a orbit category of the derived category of a hereditary algebra) is constructed. The PBW-basis, ltration structure and integral form are investigated. Their degeneration at v = 1 actually provide a realization of the universal enveloping algebra of semisimple Lie algebras.
منابع مشابه
Remarks 1 2 Extensions and Categorical Background 2 3 Steinitz - Hall Algebra
The general notion of what is now called Hall algebra or Ringel-Hall algebra is an algebra defined out of a certain type of category, a "finitary abelian category". Finitary abelian categories are, roughly speaking, categories where the notions of exact sequences make sense and such that for any pair of objects A,B in the category in question, we have # Hom(A,B) <∞ and # Ext1(A,B) <∞. The Hall ...
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