On Quantized Decomposition Maps for Graded Algebras

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• 作者：Maria Chlouveraki ; Nicolas Jacon
• 关键词：Decomposition map ; Decomposition matrix ; Graded algebras ; Graded modules ; Graded decomposition map ; Hecke algebras ; Ariki ; Koike algebras ; Canonical basis matrix
• 刊名：Algebras and Representation Theory
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：19
• 期：1
• 页码：135-146
• 全文大小：565 KB
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• 作者单位：Maria Chlouveraki (1)
  Nicolas Jacon (2)
  
  1. Laboratoire de Mathématiques, Bâtiment Fermat, UVSQ, 45 Avenue des Etats-Unis, 78035, Versailles, France
  2. Laboratoire de Mathématiques EA, Université de Reims Champagne-Ardenne, UFR Sciences exactes et naturelles, 4535 Moulin de la Housse BP 1039, 51100, Reims, France
  
• 刊物主题：Commutative Rings and Algebras; Associative Rings and Algebras; Non-associative Rings and Algebras;
• 出版者：Springer Netherlands
• ISSN：1572-9079

文摘

Decomposition maps control the representation theory of algebras obtained through the process of specialization. In this note, we study a factorization result for graded decomposition maps associated with the specializations of graded algebras. We obtain results previously known only in the ungraded setting.