منابع مشابه
Tensor Product Varieties and Crystals Ade Case
Let g be a simple simply laced Lie algebra. In this paper two families of varieties associated to the Dynkin graph of g are described: “tensor product” and “multiplicity” varieties. These varieties are closely related to Nakajima’s quiver varieties and should play an important role in the geometric constructions of tensor products and intertwining operators. In particular it is shown that the s...
متن کاملA Note on Tensor Product of Graphs
Let $G$ and $H$ be graphs. The tensor product $Gotimes H$ of $G$ and $H$ has vertex set $V(Gotimes H)=V(G)times V(H)$ and edge set $E(Gotimes H)={(a,b)(c,d)| acin E(G):: and:: bdin E(H)}$. In this paper, some results on this product are obtained by which it is possible to compute the Wiener and Hyper Wiener indices of $K_n otimes G$.
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An SLn-character of a groupG is the trace of an SLn-representation of G.We show that all algebraic relations between SLn-characters of G can be visualized as relations between graphs (resembling Feynman diagrams) in any topological space X, with π1(X) = G. We also show that all such relations are implied by a single local relation between graphs. In this way, we provide a topological approach t...
متن کاملTensor Product Decompositions and Open Orbits in Multiple Flag Varieties
For a connected semisimple algebraic group G, we consider some special infinite series of tensor products of simple G-modules whose G-fixed point spaces are at most one-dimensional. We prove that their existence is closely related to the existence of open G-orbits in multiple flag varieties and address the problem of classifying such series. Let G be a connected simply connected semisimple alge...
متن کاملQuantized reduction as a tensor product
Symplectic reduction is reinterpreted as the composition of arrows in the category of integrable Poisson manifolds, whose arrows are isomorphism classes of dual pairs, with symplectic groupoids as units. Morita equivalence of Poisson manifolds amounts to isomorphism of objects in this category. This description paves the way for the quantization of the classical reduction procedure, which is ba...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2018
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2017.09.004