منابع مشابه
On the characters of nilpotent association schemes
In this paper we give some properties of the character values of nilpotent commutative association schemes. As a main result, a class of commutative schurian association schemes is given.
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which is defined only when I is nilpotent and Q ⊂ A. Goodwillie showed that (1.2) is an isomorphism whenever it is defined, and that it coincides with (1.1) when I = 0. Using this and a 5-Lemma argument, he deduced that (1.1) is an isomorphism for any nilpotent I. The question of whether ch∗ and ch ′ ∗ agree for general nilpotent ideals I was left open in [4], and announced without proof in [7,...
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This is a combinatorial study of the Poincaré polynomials of isotypic components of a natural family of graded GL(n)-modules supported in the closure of a nilpotent conjugacy class. These polynomials generalize the Kostka-Foulkes polynomials and are q-analogues of Littlewood-Richardson coefficients. The coefficients of two-column Macdonald-Kostka polynomials also occur as a special case. It is ...
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Answering a question of Kuniba, Misra, Okado, Takagi, and Uchiyama, it is shown that certain Demazure characters of affine type A, coincide with the graded characters of coordinate rings of closures of conjugacy classes of nilpotent matrices.
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Antoine studied conditions which are connected to the question of Amitsur of whether or not a polynomial ring over a nil ring is nil, introducing the notion of nil-Armendariz rings. Hizem extended the nil-Armendariz property for polynomial rings onto powerseries rings, say nil power-serieswise rings. In this paper, we introduce the notion of power-serieswise CN rings that is a generalization of...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1995
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1995.169.343