The rook partition algebra
نویسنده
چکیده
The rook partition algebra RPk(x) is a semisimple algebra for all but a finite number of values of x ∈ C that arises from looking at what commutes with the action of the symmetric group Sn on U ⊗k, where U is the direct sum of the natural representation and the trivial representation of Sn. We give a combinatorial description of this algebra, construct its irreducible representations, and exhibit a Murnaghan-Nakayama formula to compute
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ورودعنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 113 شماره
صفحات -
تاریخ انتشار 2006