On generalized Igusa local zeta functions associated to simple Chevalley K-groups under the adjoint representation

• MARTIN Roland

  Center for Computing Sciences

抄録

The purpose of this paper is to provide the reader with an introduction to the theory of generalized Igusa local zeta functions associated to irreducible matrix groups. As an application, the generalized Igusa local zeta function Z_K(s) associated to the simple Chevalley K-groups of type B_{l}, C_{l}, D_{l}, E₆, E₇, E₈, F₄ and G₂ under the adjoint representation is explicitly exhibited as a rational function satisfying a certain functional equation.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 51 (2), 253-266, 1999

  一般社団法人 日本数学会

キーワード

• Igusa local zeta function
• universal <i>p</i>-adic zeta function
• <i>p</i>-adic integration
• finite dimensional representations of classical groups

詳細情報

• CRID: 1390001205115975552
• NII論文ID: 10002151556
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/05120253
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1674749
• NDL書誌ID: 4712132
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4712132
• 本文言語コード: en
• データソース種別:
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  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可