数理解析研究所講究録
438
歪多項式環と群環及びその周辺
京都大学数理解析研究所
1981
年9
月z9
Skew Polynomia1 Rings, Group and Related Toplcs
Rings
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September, l981
Research Xnstitute foy Mathematicai Sciences
Kyoto University, Kyoto, Japan
PREFACE
Symposium on Skew Polynomial Rmgs, Group Rings and Related Top-cs was held at the Research :nstitute for Mathematical Sciences, Kyoto Unwersity on June ll, 1981 to June l3.
The ma-n aims of the symposium were to provide a means for the dzsseminaUon of recent development on Lie algebras, skew polynomiai nngsr gxoup rings and related topics in the rxng theory.
This volume contams the articles presented at the symposium. We hope thzs proceed-ng will serve as a stimulus for the development of those subJects.
Finally we would hke to thank Prof. T. Nagahara and the Research Znstitute for Mathernatzcal Sciences for thezr support and cooperations.
September ll, 1981
Kazuo Kishimoto Shmshu Umversity
Skew Polynomial Ringsr Group and Related Topics
Rings
June ll - l3, i981
Organlzer: Kazuo KISHrMOTO Contents
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Topics on Kac-Moody Lze algebrase·ee.e.·.eee·e.el Y6hei TANAKA
Nagoya University Reallzatlon of Lle algebraSe.ee.ee.eee...eeee.ee6
Hzsasi MORTKAWA
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Nagoya Umversity A type of strongly radlclal polynomlaieeee·eeeee9
Atushl NAKAJrlxuX Okayama University
On separable polynomials and skew polynomial rings
ee-e-eeeeeeeee-eeeee-el5
Shuichi TKEHATAOkayama University Azumaya aigebras and skew polynomial rings...23
Shuichi ZKEHATA Okayama University On imbeddings of some separable extenszons -n
Galols extensions.e.e.e.e.e.e..e..e...e...e.e.ee29
Takasi NAGAHARA Okayama University
-z-
4
7e
8.
9e
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il.
12.
l3.
l4.
15.
on constant subrings...-·.·..ee·.ee·b31 Kazuo KISHZMOTO Shznshu University A charactenzation of QF-nngs..·.ee·e.··ee.·38
Manabu HARADA
Osaka City Unwersxty On separable extensions over a local ring...42
Kozo SUGANO
Hokkaido Universxty On skew group rlngs.·.·e..e·ee····ee·.··.e.·e·47
Yasuyuki HZRANO Okayarna Umversity On splitting modules for group extensions.‘·.51
Tadao OBAYASHr Shinshu Umveristy some topzcs in integral group ringseee·.·eeee55
Ken-ichi TAHARA, KazunQri }JORIBE Akmorx
and HosoMr
SHrMTZU Masao
Aichi Unwersity of Educatxon on group algebras of ftnxte groups.···ee·ee··66
Shigeo KOSH!TANI Chiba University On p-nzlpotent groups wzth extremal p-blocks
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Yasushi NINOMIYA Shinshu Universxty On elements contained in the radical of a group algebra.·e...ee...ee.e.-...”76
Kaoru MOTOSE
Shinshu University
