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math.RT2017
On the structures of hive algebras and tensor product algebras for general linear groups of low rank
Donggyun Kim, Sangjib Kim, Euisung Park
The tensor product algebra TA(n) for the complex general linear group GL(n), introduced by Howe et al., describes the decomposition of tensor products of irreducible polynomial rep…
math.RT2017
A filtration on the ring of Laurent polynomials and representations of the general linear Lie algebra
Cheonho Choi, Sangjib Kim, HaeYun Seo
We first present a filtration on the ring L of Laurent polynomials such that the direct sum decomposition of its associated graded ring gr L agrees with the direct sum decompositio…