The degenerate affine walled Brauer algebra
The degenerate affine walled Brauer algebra
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DOI：
10.1016/j.jalgebra.2014.06.030
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发表时间：
2013-05
影响因子：
0.9
通讯作者：
Antonio Sartori
中科院分区：
文献类型：
--
作者：
Antonio Sartori
我们定义了壁Brauer代数的简并仿射版本，它与对称群代数的简并仿射Hecke代数具有相同的作用。我们用它证明了gl n的高阶混合Schur-Weyl对偶性。我们考虑了在李氏理论中自然出现的第二级环商族，并证明了它们从那里继承了自然分级和分级细胞结构。
We define a degenerate affine version of the walled Brauer algebra, that has the same role played by the degenerate affine Hecke algebra for the symmetric group algebra. We use it to prove a higher level mixed Schur–Weyl duality for gl N. We consider then families of cyclotomic quotients of level two which appear naturally in Lie theory and we prove that they inherit from there a natural grading and a graded cellular structure.