Web bases for the general linear groups

Mathematics – Rings and Algebras

Scientific paper

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Scientific paper

10.1007/s10801-011-0294-4

Let V be the representation of the quantised enveloping algebra of a general
linear group which is the q-analogue of the vector representation. In this
paper we construct a basis of the representations obtained by tensoring copies
of V and its dual. This basis restricts to a basis of the subspace of invariant
tensors.

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