Modular adjacency algebras, standard representations, and p-ranks of cyclotomic association schemes
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First Online: 31 March 2016
In this paper, we consider cyclotomic association schemes S = Cyc(p(a), d). We focus on the adjacency algebra of S over algebraically closed fields K of characteristic p. If p equivalent to 1 (mod d), p equivalent to -1 (mod d), or d is an element of {2, 3, 4, 5, 6}, we identify the adjacency algebra of S over K as a quotient of a polynomial ring over an admissible ideal. In several cases, we determine the indecomposable direct sum decomposition of the standard module of S. As a consequence, we are able to compute the p-rank of several specific elements of the adjacency algebra of S over K.
Article
JOURNAL OF ALGEBRAIC COMBINATORICS. 44(3):587-602 (2016)
収録刊行物
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- JOURNAL OF ALGEBRAIC COMBINATORICS
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JOURNAL OF ALGEBRAIC COMBINATORICS 44 (3), 587-602, 2016-11
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詳細情報 詳細情報について
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- CRID
- 1050282813903945472
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- NII論文ID
- 120007100300
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- NII書誌ID
- AA10868319
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- ISSN
- 09259899
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- HANDLE
- 10091/00020626
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- 本文言語コード
- en
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- 資料種別
- journal article
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- データソース種別
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- IRDB
- CiNii Articles