Se p 20 04 A simple proof of associativity and commutativity of LR - coefficients ( or the hive ring )
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چکیده
A simple proof of associativity and commutativity of LR-coefficients (or the hive ring) In this paper we propose a simple bijective proof of associativity and commutativity of Littlewood-Richardson coefficient or the hive ring ([13]).
منابع مشابه
A Positive Proof of the Littlewood-Richardson Rule using the Octahedron Recurrence
We define the hive ring, which has a basis indexed by dominant weights for GLn(C), and structure constants given by counting hives [KT1] (or equivalently honeycombs, or Berenstein-Zelevinsky patterns [BZ1]). We use the octahedron rule from [RR, FZ, P, S] to prove bijectively that this “ring” is indeed associative. This, and the Pieri rule, give a self-contained proof that the hive ring is isomo...
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متن کامل2 3 Se p 20 05 Associativity as Commutativity
It is shown that coherence conditions for monoidal categories concerning associativity are analogous to coherence conditions for symmetric strictly monoidal categories, where associativity arrows are identities. Mac Lane’s pentagonal coherence condition for associativity is decomposed into conditions concerning commutativity, among which we have a condition analogous to naturality and a degener...
متن کامل2 6 Se p 20 05 Associativity as Commutativity
It is shown that coherence conditions for monoidal categories concerning associativity are analogous to coherence conditions for symmetric strictly monoidal categories, where associativity arrows are identities. Mac Lane’s pentagonal coherence condition for associativity is decomposed into conditions concerning commutativity, among which we have a condition analogous to naturality and a degener...
متن کاملA GENERALIZATION OF A JACOBSON’S COMMUTATIVITY THEOREM
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تاریخ انتشار 2008