Rchr
J-GLOBAL ID:200901061219388710
Update date: Jan. 30, 2024
Masuoka Akira
マスオカ アキラ | Masuoka Akira
Affiliation and department:
Job title:
Professor
Homepage URL (1):
https://sites.google.com/site/akira298math/home
Research field (1):
Algebra
Research keywords (12):
non-commutative ring
, subfactor
, homological algebra
, super-geometry
, super Lie groups
, super-symmetry
, algebraic super-groups
, differential-difference Galois Theory
, Hopf-Galois Theory
, tensor category
, quantum groups
, Hopf algebras
Research theme for competitive and other funds (21):
- 2020 - 2023 Hopf-Galois theory applied to supergeometry
- 2017 - 2021 Super-groups and super-geometry from Hopf-algebraic view-point
- 2014 - 2017 Study of super-algebraic groups using Hopf algebras
- 2011 - 2013 Study of super algebraic groups from functorial viewpoint
- 2006 - 2011 Hopf-Galois approach to quantized enveloping algebras
- 2010 - super group schemes
- 2008 - 2010 Hopf-Galois theoretic approach to quantum groups
- 2003 - 2009 Differential-difference, unified Picard-Vessiot theory using Hopf algebras
- 2006 - 2009 Hopf algebras and their applications to quantum groups
- 2007 - 2008 RESEARCH ON THE REPRESENTATION CATEGORIES OF HOPF ALGEBRAS BY USING THEIR BRAIDING STRUCTURES
- 2006 - 2007 STUDY ON FULL MATRIX ALGEBRAS WITH STRUCTURE SYSTEMS
- 2006 - 2007 Unifying differential and difference Picard Vessiot theories by using Hopfalgebras
- 2004 - 2005 Generalization of Hopf-quotient theory and applications to subfactors and others
- 2003 - 2005 Algebraic structures and analysis in tensor categories and quantum groupoids
- 2002 - 2003 Classification of coquasi-Hopf algebras by tensor equivalence and constructions of new braidings
- 1999 - 2002 Research on quantum matrices and Hopf algebras
- 2000 - 2001 Classification of Hopf algebras and quantum groups by tensor equivalences
- 1998 - 1999 ホップ代数,リー双代数の拡大とコホモロジー
- 1994 - 1994 有限次元ホップ代数の構造論
- 1992 - 1992 小さいパラメータを含む非線形方程式の初期値問題
- Extensions of Hopf algebras
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Papers (56):
-
Masuoka, Akira, Zubkov, Alexandr. Group superschemes. JOURNAL OF ALGEBRA. 2022. 605. 89-145
-
Masuoka, Akira, Shimada, Yuta. Twisted forms of differential Lie algebras over C(t) associated with complex simple Lie algebras. Arnold Mathematical Journal. 2021. 7. 107-134
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Masuoka, Akira, Saito, Katsunori, Umemura, Hiroshi. Toward quantization of Galois theory. Annales de la Fac. des Sciences de Toulouse. 2020. 29. 5. 1319-1431
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Hoshi, Mitsukazu, Masuoka, Akira, Takahashi, Yuta. Hopf-algebraic techniques applied to super Lie groups over a complete field. JOURNAL OF ALGEBRA. 2020. 562. 28-93
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Masuoka, Akira, Takahashi, Yuta. GEOMETRIC CONSTRUCTION OF QUOTIENTS G/H IN SUPERSYMMETRY. TRANSFORMATION GROUPS. 2020. Epub
more...
MISC (1):
-
Akira Masuoka, Taiki Shibata, Yuta Shimada. Affine algebraic super-groups with integral. 2020
Books (5):
-
ガイダンス線形代数
サイエンス社 2021 ISBN:9784781915319
-
Handbook of Algebra, Volume 6 (1つの章を共同執筆)
Elsevier 2009
-
Handbook of Algebra, Volume 5 (1つの章を執筆)
Elsevier 2008
-
New Directions in Hopf Algebras, MSRI Publ. Vol. 43 (1つの章を執筆)
Cambridge Univ. Press 2002
-
Extensions of Hopf algebras, Trabajos de Matemática 41/99,
FaMAF. Universidad Nacional de Cordoba 1999
Lectures and oral presentations (10):
-
デサントから見た微・差分ガロア理論
(Functional Equations and Transcendence 2018)
-
Geometric construction of quotients G/H in super-symmetry
(岡山理科大学 2018)
-
Survey on Hopf crossed products
(Joint Mathematics Meetings 2018)
-
Super Lie groups over a complete field
(Hopf Algebras and Tensor Categories 2016)
-
Hopf crossed products and their applications to super algebraic groups
(Humboldt Kolleg Colloquium on Algebras and Representations--Quantum 2016 2016)
more...
Education (2):
- - 1990 University of Tsukuba Graduate School, Division of Mathematics mathematics
- - 1985 The University of Tokyo Faculty of Science
Work history (9):
- 2019/02 - 現在 国立大学法人筑波大学 数理物質系 教授
- 2011/10 - 2019/01 国立大学法人筑波大学 数理物質系 准教授
- 2007/04 - 2011/09 国立大学法人筑波大学 大学院数理物質科学研究科 准教授
- 2004/04 - 2007/03 国立大学法人筑波大学 大学院数理物質科学研究科 助教授
- 1998/09 - 2004/03 筑波大学 数学系 助教授
- 1996/10 - 1998/08 島根大学 総合理工学部 助教授
- 1995/06 - 1995/09 島根大学 理学部 助教授
- 1993/04 - 1995/05 島根大学 理学部 講師
- 1990/04 - 1993/03 日本工業大学 工学部 講師
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Committee career (2):
- 2016/03 - 現在 日本数学会 代数学分科会運営委員
- 2020/07 - 2026/06 日本数学会 Journal of Mathematical Society of Japan 編集委員
Association Membership(s) (2):
American Mathematical Society
, 日本数学会
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