论文标题
融合的Hecke代数和与GL（N） - 对称的R-Matrices的免疫化
Baxterisation of the fused Hecke algebra and R-matrices with gl(N)-symmetry
论文作者
论文摘要
我们为融合的Hecke代数及其对融合排列的代数的经典限制提供了明确的百特公式。这些代数代替了schur的Hecke代数和对称组 - weyl二元定理，用于GL（N）基本表示及其量子版本的对称幂。因此，本文介绍的包容性公式适用于与这些表示形式相关的$ r $ amatrices。特别是（经典和量子）SL（2）的所有“较高自旋”表示。
We give an explicit Baxterisation formula for the fused Hecke algebra and its classical limit for the algebra of fused permutations. These algebras replace the Hecke algebra and the symmetric group in the Schur--Weyl duality theorems for the symmetrised powers of the fundamental representation of gl(N) and their quantum version. So the Baxterisation formulas presented in this paper are applicable to the $R$-matrices associated to these representations. In particular all "higher spins" representations of (classical and quantum) sl(2) are covered.
