A decomposition theorem for Demazure crystals
نویسندگان
چکیده
منابع مشابه
Demazure crystals and the energy function
There is a close connection between Demazure crystals and tensor products of Kirillov–Reshetikhin crystals. For example, certain Demazure crystals are isomorphic as classical crystals to tensor products of Kirillov– Reshetikhin crystals via a canonically chosen isomorphism. Here we show that this isomorphism intertwines the natural affine grading on Demazure crystals with a combinatorially defi...
متن کاملDemazure Crystals, Kirillov-Reshetikhin Crystals, and the Energy Function
It has previously been shown that, at least for non-exceptional Kac–Moody Lie algebras, there is a close connection between Demazure crystals and tensor products of Kirillov–Reshetikhin crystals. In particular, certain Demazure crystals are isomorphic as classical crystals to tensor products of Kirillov–Reshetikhin crystals via a canonically chosen isomorphism. Here we show that this isomorphis...
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متن کاملTwisted Demazure Modules, Fusion Product Decomposition and Twisted Q-systems
In this paper, we introduce a family of indecomposable finitedimensional graded modules for the twisted current algebras. These modules are indexed by an |R+|-tuple of partitions ξ = (ξ)α∈R+ satisfying a natural compatibility condition. We give three equivalent presentations of these modules and show that for a particular choice of ξ these modules become isomorphic to Demazure modules in variou...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2003
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(03)00028-0