Module structures on $\bm{U(\h)}$ for Kac-Moody algebras
نویسندگان
چکیده
منابع مشابه
Non-commutative Poisson algebra structures on affine Kac-Moody algebras
Non-commutative Poisson algebras are the algebras having an associative algebra structure and a Lie structure together with the Leibniz law. The non-commutative Poisson algebra structures on the infinite-dimensional algebras are studied. We show that these structures are standard on the poset subalgebras of the associative algebra of all endomorphisms of the countable-dimensional vector space T...
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Motivated by affine Schubert calculus, we construct a family of dual graded graphs (Γs,Γw) for an arbitrary Kac-Moody algebra g. The graded graphs have the Weyl group W of g as vertex set and are labeled versions of the strong and weak orders of W respectively. Using a construction of Lusztig for quivers with an admissible automorphism, we define folded insertion for a Kac-Moody algebra and obt...
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The proposed project is set in pure mathematics within the areas of infinite-dimensional Lie theory and geometric group theory. Its goal is to contribute to the structure theory of unitary forms (i.e., centralisers of Chevalley involutions) of Kac–Moody algebras and of Kac–Moody groups of indefinite type. The main emphasis of this project will be on finite-dimensional representations and on ide...
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ژورنال
عنوان ژورنال: SCIENTIA SINICA Mathematica
سال: 2017
ISSN: 1674-7216
DOI: 10.1360/n012016-00181