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On Quantized Decomposition Maps for Graded Algebras

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Abstract

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.

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Authors and Affiliations

  1. Laboratoire de Mathématiques, Bâtiment Fermat, UVSQ, 45 Avenue des Etats-Unis, 78035, Versailles, France

    Maria Chlouveraki

  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

    Nicolas Jacon

Authors
  1. Maria Chlouveraki
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  2. Nicolas Jacon
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Correspondence to Maria Chlouveraki.

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Presented by Iain Gordon.

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Chlouveraki, M., Jacon, N. On Quantized Decomposition Maps for Graded Algebras. Algebr Represent Theor 19, 135–146 (2016). https://doi.org/10.1007/s10468-015-9566-3

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  • DOI: https://doi.org/10.1007/s10468-015-9566-3

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