河田成人:
Knorr格子とテンサー積について
,
数理解析研究所講究録2252
「有限群のコホモロジー論とその周辺」
2023年5月,15--26.
Naoko Kamada; Shigeto Kawata; Kaori Okubo; Akinobu Shimizu: A table of twisted knots with crossing number 3,
Osaka Journal of Mathematics 60 (2023), no. 2, 239--266.
Kawata, Shigeto: On tensor products and almost split sequences for Scott lattices over group rings,
Journal of Algebra 599 (2022), 122--132,
https://doi.org/10.1016/j.jalgebra.2022.02.008
Kawata, Shigeto: On relative projectivity of lattices in Auslander-Reiten components for group rings,
Communications in Algebra 48 (2020), no. 6, 2461--2466,
https://doi.org/10.1080/00927872.2020.1715994
河田成人:
Scott加群の概分裂完全列とテンサー積について
,
数理解析研究所講究録2134
「有限群のコホモロジー論とその周辺」
2019年11月,45--51.
河田成人:
群整環上の表現加群のヴァーテックスについて
,
数理解析研究所講究録2061
「有限群のコホモロジー論とその周辺」
2018年4月,48--55.
河田成人:
群環の表現加群のヴァーテックスとAuslander-Reiten連結成分について
,
数理解析研究所講究録2053
「有限群・代数的組合せ論・頂点作用素代数の研究」
2017年10月,111--118.
Kawata, Shigeto: On Auslander-Reiten components and height zero lattices for integral group rings,
Algebras and Representation Theory 17 (2014), no. 5, 1603--1613,
https://doi.org/10.1007/s10468-013-9462-7
河田成人:
群環の高さ0の表現加群とAuslander-Reiten連結成分について
,
数理解析研究所講究録1872
「有限群とその表現,頂点作用素代数,代数的組合せ論の研究」
2014年1月,140--150.
Kawata, Shigeto: On Auslander-Reiten components and splitting trace lattices for integral group rings,
Journal of Algebra 359 (2012), 69--79,
https://doi.org/10.1016/j.jalgebra.2012.03.012
Kawata, Shigeto: On Auslander-Reiten components and trivial source lattices for integral group rings,
Journal of Algebra 322 (2009), no. 4, 1395--1405,
https://doi.org/10.1016/j.jalgebra.2009.05.007
Kawata, Shigeto: Erratum to: "On Heller lattices over ramified extended orders'' [J. Pure Appl. Algebra 202 (2005), no. 1-3, 55--71],
Journal of Pure and Applied Algebra 212 (2008), no. 7, 1849--1851,
https://doi.org/10.1016/j.jpaa.2007.10.015
河田成人:
群環のHeller格子について
,
数理解析研究所講究録1564
「群論とその周辺」
2007年7月,70--75.
Kawata, Shigeto: On Auslander-Reiten components and Heller lattices for integral group rings,
Algebras and Representation Theory 9 (2006), no. 5, 513--524,
https://doi.org/10.1007/s10468-006-9025-2
Kawata, Shigeto: On Heller lattices over ramified extended orders,
Journal of Pure and Applied Algebra 202 (2005), no. 1-3, 55--71,
https://doi.org/10.1016/j.jpaa.2005.02.008
河田成人:
群環の自明なソースをもつ加群とAuslander-Reiten列について
,
数理解析研究所講究録1251
「有限群のコホモロジー論の研究」
2002年2月,130--138.
Kawata, Shigeto: On Auslander-Reiten components and projective lattices of p-groups,
Osaka Journal of Mathematics 38 (2001), no. 3, 487--499.
Jones, A.; Kawata, S.; Michler, G. O.: On exponents and Auslander-Reiten components of irreducible lattices,
Archiv der Mathematik (Basel) 76 (2001), no. 2, 91--94,
https://doi.org/10.1007/s000130050547
Kawata, Shigeto; Michler, Gerhard O.; Uno, Katsuhiro: On Auslander-Reiten components and simple modules for finite groups of Lie type,
Osaka Journal of Mathematics 38 (2001), no. 1, 21--26,
https://doi.org/10.1007/s002099900112
河田成人:
群環の射影加群とAuslander-Reiten列について
,
数理解析研究所講究録1140
「有限群のコホモロジー論の研究」
2000年4月,80--85.
Kawata, S.; Michler, G. O.; Uno, K.: On simple modules in the Auslander-Reiten components of finite groups,
Mathematische Zeitschrift 234 (2000), no. 2, 375--398,
https://doi.org/10.1007/s002099900112
Kawata, Shigeto: On standard Auslander-Reiten sequences for finite groups,
Archiv der Mathematik (Basel) 75 (2000), no. 2, 92--97,
https://doi.org/10.1007/s000130050478
Inoue, Takayuki; Kawata, Shigeto: On Auslander-Reiten components and trivial modules for integral group rings of p-groups,
Journal of Algebra 203 (1998), no. 2, 374--384,
https://doi.org/10.1006/jabr.1997.7334
Kawata, Shigeto: On Auslander-Reiten components and simple modules for finite group algebras,
Osaka Journal of Mathematics 34 (1997), no. 3, 681--688.
河田成人:
On Auslander-Reiten components for group algebras of finite groups
,
数理解析研究所講究録877
「有限群と代数の表現」
1994年6月,34--40.
Kawata, Shigeto: On Auslander-Reiten components for certain group modules,
Osaka Journal of Mathematics 30 (1993), no. 2, 137--157.
河田成人:
On Auslander-Reiten quivers of finite groups
,
数理解析研究所講究録799
「有限群と有限次元多元環の表現論」
1992年8月,32--45.
Kawata, Shigeto: The modules induced from a normal subgroup and the Auslander-Reiten quiver,
Osaka Journal of Mathematics 27 (1990), no. 2, 265--269.
Kawata, Shigeto: Module correspondence in Auslander-Reiten quivers for finite groups,
Osaka Journal of Mathematics 26 (1989), no. 3, 671--678.
Kawata, Shigeto: The Green correspondence and Auslander-Reiten sequences,
Journal of Algebra 123 (1989), no. 1, 1--5,
https://doi.org/10.1016/0021-8693(89)90031-8
Kawai, Hiroaki; Kawata, Shigeto; Okuyama, Tetsuro: On a conjecture of D. Benson,
Journal of Algebra 121 (1989), no. 1, 244--247,
https://doi.org/10.1016/0021-8693(89)90094-X
Kawata, Shigeto: On the Loewy structure in the blocks of Mathieu groups with cyclic defect groups,
Communications in Algebra 15 (1987), no. 7, 1519--1531,
https://doi.org/10.1080/00927878708823483