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Masuoka Akira

Affiliation
Faculty of Pure and Applied Sciences
Official title
Professor
Birth date
1961-08
Phone
0298-53-4368
Fax
0298-53-6501
Research fields
Algebra
Research keywords
Hopf algebras and quantum groups
their applications to algebraic supergroups and differential-difference Galois theory
Research projects
ホップ代数から見るスーパー群とスーパー幾何学2017 -- 2019増岡 彰Japan Society for the Promotion of Science/Grant-in-Aid for Scientific Research(C)4,550,000Yen
ホップ代数を用いたスーパー代数群の研究2014 -- 2016増岡 彰Japan Society for the Promotion of Science/基盤研究(C)4,680,000Yen
super group schemes2010-04 -- (current)/Cooperative Research
Extensions of Hopf algebras -- (current)/
函手的見地からのスーパー代数群の研究2011 -- 2013Japan Society of for the Promotion of Science/基盤研究(C)3,510,000Yen
量子群へのホップガロア・アプローチ2008 -- 2010Japan Society of for the Promotion of Science/基盤研究(C)4,420,000Yen
ホップ代数を用いた微分・差分統一Picard-Vessiot理論        2006 -- 2007Japan Society of for the Promotion of Science/基盤研究(C)2,630,000Yen
ホップ商理論の拡張と部分因子環等への応用2005 -- (current)Japan Society of for the Promotion of Science/基盤研究(C)2,400,000Yen
余準ホップ代数のテンソル同値による分類と新しい組紐構造の構成2003 -- (current)Japan Society of for the Promotion of Science/基盤研究(C)1,800,000Yen
テンソル同値によるホップ代数・量子群の分類2001 -- (current)Japan Society of for the Promotion of Science/基盤研究(C)1,800,000Yen
Academic background
-- 1985The University of Tokyo Faculty of Science 数学Graduated
-- 1990University of Tsukuba Graduate School, Division of Mathematics mathematicsUnfinished
Degree
Doctor in mathematicsUniversity of Tsukuba
Academic societies
-- (current)日本数学会
-- (current)American Mathematical Society
Articles
  • Simple modules over finite quantum groups and their Drinfel'd doubles
    増岡 彰
    Proceedings of the meeting for study of number theory, Hopf algebras and related topics/pp.81-104, 2019
  • On functor points of affine supergroups
    Masuoka Akira; Shibata Taiki
    JOURNAL OF ALGEBRA/503/pp.534-572, 2018-06
  • ALGEBRAIC SUPERGROUPS AND HARISH-CHANDRA PAIRS OVER A COMMUTATIVE RING
    Masuoka Akira; Shibata Taiki
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY/369(5)/pp.3443-3481, 2017-05
  • The Noether problem for Hopf algebras
    Kassel Christian; Masuoka Akira
    JOURNAL OF NONCOMMUTATIVE GEOMETRY/10(2)/pp.405-428, 2016
  • Solvability and nilpotency for algebraic supergroups
    Masuoka Akira; Zubkov Alexandr N.
    JOURNAL OF PURE AND APPLIED ALGEBRA/221(2)/pp.339-365, 2017-02
  • Handlebody-knot invariants derived from unimodular Hopf algebras
    Masuoka Akira; Ishii Atsushi
    Journal of Knot Theory and its Ramifications/23(7)/p.1460001, 2014-06
  • Lifting via cocycle deformation
    Andruskiewitsch Nicolas; Angiono Ivan; Garcia Iglesias Ag...
    JOURNAL OF PURE AND APPLIED ALGEBRA/218(4)/pp.684-703, 2014-04
  • -Bialgebras associated with iterative -difference rings
    Masuoka Akira; Yanagawa Makoto
    International Journal of Mathematics/24(4)/p.1350030, 2013-04
  • Harish-Chandra pairs for algebraic affine supergroup schemes over an arbitrary field
    Masuoka Akira
    Transformation Groups/17(4)/pp.1085-1121, 2012-12
  • Cogalois theory for fields extensions
    A. Masuoka
    J. Math. Soc. Japan/41/p.577-592, 1989-01
  • Corings and invertible bimodules
    A. Masuoka
    Tsukuba. J. Math./13/p.353-362, 1989-01
  • Existence of a unique maximal subcoalgebra whose action in inner
    A. Masuoka
    Israel J. Math./72/p.149-157, 1990-01
  • Coalgebra actions on Azumaya algebras
    A. Masuoka
    Tsukuba J. Math./14/p.107-112, 1990-01
  • On Hopf algebras with cocommutative coradicals
    A. Masuoka
    Journal of Algebra/144(2)/p.451-466, 1991-01
  • Generalization of cleft comudule algebras (共著)
    A. Masuoka; Y. Doi
    Communications in Algebra/20(12)/p.3703-3721, 1992-01
  • Freeness of Hopf algebras over coideal subalgebras
    A. Masuoka
    Communications in Algebra/20(5)/p.1353-1373, 1992-01
  • Coideal subalgebras in finite Hopf algebras
    A. Masuoka
    Journal of Algebra/163(3)/p.819-831, 1994-01
  • Failhfal flatness of Hopf algebras(共著)
    A. Masuoka; D. Wigner
    Journal of Algebra/170(1)/p.156-164, 1994-01
  • Coideal subalgebras in finite Hopf algebras
    A. Masuoka
    J. Algebra/163/p.819-831, 1994-01
  • Quotient theory of Hopf algebras
    A. Masuoka
    Lecture Notes in Pure and Applied Mathematics/158/p.107-133, 1994-01
  • Cleft extensions for a Hopf algebra generated by a nearly primitive element
    A. Masuoka
    Comm. Algebra/22/p.4537-4559, 1994-01
  • Self-dual Hopf algebras of dimension p3 obtained by extension
    A. Masuoka
    Journal of Algebra/178/p.791-806, 1995-01
  • Semisimple Hopf algebras of dimension 6,8
    A. Masuoka
    Israel Journal of Mathematics/92/p.361-373, 1995-01
  • Semisimple Hopf algebras of dimension 2p
    A. Masuoka
    Communications in Algebra/23(5)/p.1931-1940, 1995-01
  • The pn theorem for semisimple Hopf algebras
    A. Masuoka
    Proceeding of the American Mathematical Society/124(3)/p.735-737, 1996-01
Books
  • Extensions of Hopf algebras, Trabajos de Matemática 41/99,
    A. Masuoka (Lecture Notes taken by Matias Grana)
    FaMAF. Universidad Nacional de Cordoba, 1999-01
  • New Directions in Hopf Algebras, MSRI Publ. Vol. 43 (1つの章を執筆)
    S. Montgomery; H.-J. Schneider; eds.; +増岡 彰
    Cambridge Univ. Press, 2002-01
  • Handbook of Algebra, Volume 5 (1つの章を執筆)
    M. Hazewinkel; ed.; +増岡 彰
    Elsevier, 2008-01
  • Handbook of Algebra, Volume 6 (1つの章を共同執筆)
    M. Hazewinkel; ed.; +増岡 彰
    Elsevier, 2009-01
Conference, etc.
  • Geometric construction of quotients G/H in super-symmetry
    増岡 彰
    岡山理科大学/2018-09-19--2018-09-22
  • デサントから見た微・差分ガロア理論
    増岡 彰
    Functional Equations and Transcendence/2018-12-02--2018-12-03
  • Survey on Hopf crossed products
    Masuoka Akira
    Joint Mathematics Meetings/2018-01-10--2018-01-13
  • Super Lie groups over a complete field
    Masuoka Akira
    Hopf Algebras and Tensor Categories/2016-09-05--2016-09-09
  • Hopf crossed products and their applications to super algebraic groups
    Masuoka Akira
    Humboldt Kolleg Colloquium on Algebras and Representations--Quantum 2016/2016-02-29--2016-03-04
  • The Miyashita action in Hopf-Galois theory
    Masuoka Akira
    Conference on ring theory in honor of Professor George Szeto on his retirement/2015-11-14--2015-11-14
  • Hopf-algebraic approach to super affine groups
    Masuoka Akira
    Workshop: Nichols algebras and their interactions with Lie theory, Hopf algebras and tensor categories/2015-09-06--2015-09-11
  • Cleftness of universal quantum groups
    増岡 彰
    Mini-workshop on infinite-dimensional Hopf algebras/2014-04-13--2014-04-19
  • Hopf algebraic techniques applied to super algebraic groups
    増岡 彰
    代数学シンポジウム/2014-08-26--2014-08-29
  • Mini-course on Hopf algebras--Hopf crossed products--
    Masuoka Akira
    Conference on Ring Theory/2012-06-24--2012-06-30
  • Hopf algebraic techniques applied to algebraic supergroups
    Masuoka Akira
    2013 CMS Summer Meeting/2013-06-4--2013-06-7
  • Hopf algebraic techniques applied to algebraic supergroups
    Masuoka Akira
    AMS Sectional Meeting/2013-04-06--2013-04-07
Teaching
2019-04 -- 2019-08Research in Algebra IIBUniversity of Tsukuba.
2019-04 -- 2019-08Research in Algebra IVAUniversity of Tsukuba.
2019-04 -- 2019-08Research in Algebra IVBUniversity of Tsukuba.
2019-10 -- 2020-02Seminar on Special Research on Mathematics IIIBUniversity of Tsukuba.
2019-10 -- 2020-02Research in Algebra IVAUniversity of Tsukuba.
2019-10 -- 2020-02Research in Algebra IAUniversity of Tsukuba.
2019-04 -- 2019-08Special Research on Mathematics IIIAUniversity of Tsukuba.
2019-10 -- 2020-02Research in Algebra IIAUniversity of Tsukuba.
2019-10 -- 2020-02Research in Algebra VBUniversity of Tsukuba.
2019-04 -- 2019-08Seminar on Special Research on Mathematics IIIAUniversity of Tsukuba.
Other educational activities
2009-02 -- 2009-02Nanjin Lectures "Brief introduction to Hopf-Galois theory"学外
2005-10 -- 2005-10千葉大学集中講義学外
1997-10 -- 1997-10アルゼンチン国立コロドバ大学集中講義学外
Talks
  • Hopf algebraic approach to Picard-Vessiot theory
    Akira Masuoka
    AMS-MAA 合同数学会議/2011-01-08
  • Hopf algebraic approach to Picard-Vessiot theory
    Akira Masuoka
    Galois theory and explicit methods/2010-09-07
  • On super affine groups
    A. Masuoka
    Hopf algebras and non-commutative algebras, Conference in honor of Prof. Mia Cohen (イスラエル,Ben Gurion 大学)/2010-05-25
  • Hopf-Galois approach to quantum groups
    A. Masuoka
    Conference in honor of Prof. Hans-Jurgen Schneider (アルゼンチン,コルドバ大学)/2009-09-05
  • Cocycle deformation of pointed Hopf algebras
    増岡彰
    アメリカーニュージーランド数学会第1回合同国際会議/2007-12-13
  • ホップ代数入門
    増岡彰
    2+1次元トポロジーの新しい流れ(早稲田大学)/2007-11-13
  • Computing the socond cohomology of Hopf algebras
    増岡彰
    アメリカ数学会(シカゴ・デュポール大学)/2007-10-06
  • Hopf algebras in the Picard-Vessiot theory
    増岡彰
    アメリカ数学会(ニュー・ハンプシャー大学)/2006-04-01
  • Picard-Vessiot extensions of artinian simple module algebras
    増岡彰
    アメリカ数学会(ウエスタン・ケンタッキー大学)/2005-03-01
  • Hopf-algebraic approach to super affine groups and super formal groups
    増岡彰
    アメリカ数学会(ノース・ウエスタン大学)/2004-10-01
  • More homological approach to affine (super)groups
    増岡彰
    カナダ数学会(ダルハウジー大学)/2004-07-01
  • ホップ・ガロア拡大とII_1 型部分因子環
    増岡彰
    作用素環における量子解析の展開/2003-09-01
  • More homological approach to composition of subfactors
    増岡彰
    ラテンアメリカ代数学コロキウム(メキシコ・ココヨック)/2003-07-01
  • 接合積からのホップ代数入門
    増岡彰
    環論・表現論シンポジウム/2002-10-01
  • Hopf cohomology vanishing via approximation by Hochschild cohomology
    増岡彰
    ガロアとホップ(フィールズ研究所)/2002-09-01
  • Cohomology and coquasibialgebra extensions associated to a matched pair of groups
    増岡彰
    非可換幾何学と量子群(バーナッハセンター)/2001-09-01
  • ホップ代数とコホモロジー
    増岡彰
    代数学シンポジウム/2001-07-01
  • ホップガロアの面白さ
    増岡彰
    日本数学会特別講演/2001-03-01
  • Examples of cocycle deformations and Galois objects
    増岡彰
    ホップ代数ワークショップ(カリフォルニアMSRI)/1999-10-01
  • モノイダル森田同値と非可換ガロア拡大
    増岡彰
    環論・表現論シンポジウム/1999-10-01
  • Cocycle deformations and Galois objects for some cosemisimple Hopf algebras of finite dimension
    増岡彰
    量子群・ホップ代数コロキウム(アルゼンチン・ラファルダ)/1999-08-01
  • ホップ代数、リー双代数の拡大とコホモロジー
    増岡彰
    環論・表現論シンポジウム/1998-11-01
  • Extensions of Hopf algebras and Lie bialgebras
    増岡彰
    量子群研究集会(ブリュッセル自由大学)/1998-06-01
Professional activities
2016-03 -- (current)The Mathematical Society of Japan代数学分科会運営委員
University Management
2008-12 -- 2010-11外国語教育専門委員会(理工学群)
2006-04 -- 2007-03入試実施委員(第一学群)
2010-06 -- 2012-03中央アジア国際連携センター運営委員

(Last updated: 2019-06-27)