Character tables of association schemes of affine type
نویسندگان
چکیده
منابع مشابه
Group-Case Commutative Association Schemes and Their Character Tables
Leading towards the classification of primitive commutative association schemes as the ultimate goal, Bannai and some of his school have been trying to • identify the major sources of (primitive) commutative association schemes, • collect known group-case primitive commutative association schemes, and • compute their character tables over the last twenty years. The construction of their charact...
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It is shown that the character tables of the association schemes in the above (i) and (ii) are controlled by the character table of the group PSL(2, q), while that the character tables of the association schemes in (iii) are controlled by the character tables of the association schemes obtained from the action of the group PGL(2, q) acting on the cosets by dihedral subgroups D,,,_ , , and D,,,+...
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The set of subspaces of a given dimension in an attenuated space has a structure of a symmetric association scheme and this association scheme is called an association scheme based on an attenuated space. Association schemes based on attenuated spaces are generalizations of Grassmann schemes and bilinear forms schemes, and also q-analogues of nonbinary Johnson schemes. Wang, Guo, and Li compute...
متن کاملAFFINE SUBGROUPS OF THE CLASSICAL GROUPS AND THEIR CHARACTER DEGREES
In this paper we describe how the degrees of the irreducible characters of the affine subgroups of the classical groups under consideration can be found inductively. In [4] Gow obtained certain character degrees for all of the affine subgroups of the classical groups. We apply the method of Fischer to the above groups and, in addition to the character degrees given in [4], we obtain some ne...
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 1992
ISSN: 0195-6698
DOI: 10.1016/0195-6698(92)90022-r