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Morita Jun

Affiliation
Faculty of Pure and Applied Sciences
Official title
Professor
URL
Research fields
Algebra
Research keywords
Group
Lie algebra
Aperiodic orders
Research projects
無限次元代数群とリー代数の研究、および準周期・非周期構造への応用2017 -- 2019森田 純Japan Society for the Promotion of Science/Grant-in-Aid for Scientific Research(C)4,420,000Yen
無限次元の代数群とリー代数の構造と表現、および準周期構造への応用の研究2014 -- 2016森田 純Japan Society for the Promotion of Science/基盤研究(C)4,810,000Yen
Study on Lie algebras and algebraic groups, and their applications1977 -- (current)/Grants and Funding
無限次元代数群とリー環の構造の研究、および語・記号列への応用2011 -- 2013Japan Society of for the Promotion of Science/基盤研究(C)3,640,000Yen
無限次元の代数群とリー環の研究、およびその物質科学・生命科学への応用2007 -- 2010Japan Society of for the Promotion of Science/基盤研究(C)4,550,000Yen
代数群とKac-Moody群の研究、およびその応用2003 -- 2006Japan Society of for the Promotion of Science/基盤研究(C)3,500,000Yen
代数群・リー環の構造の研究とその応用2001 -- (current)Japan Society of for the Promotion of Science/基盤研究(C)3,200,000Yen
準結晶とその代数的構造の研究1997 -- (current)Japan Society of for the Promotion of Science/萌芽的研究1,800,000Yen
代数群とリー環の研究1996 -- (current)Japan Society of for the Promotion of Science/基盤研究(B)6,600,000Yen
Academic background
-- 1977東京教育大学 Faculty of Science 応用数理学科Graduated
-- 1982University of Tsukuba Graduate School, Division of Mathematics Department of the Foundations of Mathematical SiencesCompleted
Degree
理学博士University of Tsukuba
Academic societies
-- (current)日本数学会
Articles
  • Discretization of SU(2) and the orthogonal group using icosahedral symmetries and the golden numbers
    Moody Robert V.; Morita Jun
    COMMUNICATIONS IN ALGEBRA/46(6)/pp.2510-2533, 2018
  • Simple Kac-Moody groups with trivial Schur multipliers
    Morita Jun
    SCIENCE CHINA-MATHEMATICS/61(2:::SI)/pp.311-316, 2018-02
  • Word maps in Kac-Moody setting
    Morita Jun
    Toyama Mathematical Journal/37/pp.25-53, 2015
  • Coverings of generalized Chevalley groups associated with affine Lie algrbras
    森田 純
    Tsukuba J. Math./6/p.2, 1982-01
  • Conjugate classes of three dimensional simple Lie subalgebras in the affinet Lie algebra Al(1)
    森田 純
    Algebraic and topological theories, 1985-01
  • Commutator relations in Kac-Moody groups
    森田 純
    Proc. Japan Acad. , ser. A/63/p.1, 1987-01
  • Some Tits systems with affine Weyl Groups in Chevalley groups over Dedekind domains (共著)
    森田 純
    J. Algebra/115/p.2, 1988-01
  • Root Strings with three or four Real roots in Kac-Moddy root systems
    森田 純
    Tohoku Math. J./40/p.4, 1988-01
  • A Matsumoto-type theorem for Kac-Moody groups (共著)
    森田 純
    Tohoku Math. J./42/p.4, 1990-01
  • On the group structure of rank one K2 of some ZS
    森田 純
    Bull. Soc. Math. Belgique/XLII/p.4, 1990-01
  • Symplectic K2 of Laurent polynomials, associated Kac-Moody grups and Witt rings (共著)
    森田 純
    Math. Z./p.206, 1991-01
  • Kac-Moody groups over fields with trivial K2
    森田 純
    Comm. Algebra/19/p.5, 1991-01
  • K2SL2 of Euclidean domains, generalized dennis-Stein symbols and a certain three unit formula
    森田 純
    J. Pure Appl. Algebra/p.79, 1992-01
  • A combinatorial proof for Artin's presentation of the braid group Bn and some cyclc analogue
    森田 純
    Tsukuba J. Math/16(2)/p.439-442, 1992-01
  • Braid relations,meta-abelianizations and the symbols {p,-1} in K2(2, Z[1/p])
    森田 純
    Journal of Mathematical Society of Japan/47(1)/p.131-141, 1995-01
  • Meta-ablianizations of SL(2, Z[1/P])and Dennis-Stein symbols
    森田 純
    Tsukuba J. Math./20(1)/p.71-76, 1996-01
  • Gauss decompositions of Kac-Moody groups (共著)
    森田 純
    Comm. Algebra/27(1)/p.465-475, 1999-01
  • Positivity for K1 and K2 (共著)
    森田 純
    Journal of Algebra/229/p.1-24, 2000-01
  • A certain algebraic construction of quasicrystals and their isomorphism classes(共著)
    森田 純
    J. Phys. A : Math. Gen./33/p.8483-8487, 2000-01
  • Prescribed Gauss decompositions for Kac-Moody groups over fields(共著)
    森田 純
    Rend. Sem. Mat. Padova/106/p.153-163, 2001-01
  • Some factorizations in universal enveloping algebras of three dimensional Lie algebras and generalizations (共著)
    森田 純
    Canad. Math. Bull./45(4)/p.525 - 536, 2002-01
  • Some formulae in U_q(sl_2) and diagonalizability (共著)
    森田 純
    Kyushu J. Math./57(1)/p.165 - 173, 2003-01
  • Groups defined by extended affine Lie algebras with nullity 2
    Jun Morita; Hideyuki Sakaguchi
    Tokyo J. Math./29(2)/p.347 - 383, 2006-01
  • Conjugacy results for the Lie algebra sl_2 over an algebra which is a UFD
    Stephen Berman; Jun Morita
    Contemp. Math./422/p.17 - 40, 2007-01
  • A new basis of U(sl_2) and Heisenberg analogue
    Hideki Chiba; Jun Lin Guo; Jun Morita
    Hadronic J./30/p.503 - 512, 2007-01
Books
  • Kac-Mody 群講義
    森田 純
    2001
  • 明解 線形代数
    森田 純
    2005
  • 代数の魅力
    森田 純
    2009
Conference, etc.
  • Simple Kac-Moody groups with trivial Schur multipliers
    Morita Jun
    7th International Conference on Representation Theory (ICRT)/2016-07-18--2016-07-23
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 Mathematical Science IBUniversity 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.

(Last updated: 2016-06-15)