Mitsuhiro Takeuchi

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All published works

Action	Title	Year	Authors
+	Relations of Representations of Quantum Groups and Finite Groups	2023	Mitsuhiro Takeuchi
+	The Coquasitriangular Hopf Algebra Associated to a Rigid Yang–Baxter Coalgebra	2019	Mitsuhiro Takeuchi
+	FRT construction for dynamical Yang–Baxter maps	2009	Youichi Shibukawa Mitsuhiro Takeuchi
+	Hopf Algebraic Approach to Picard-Vessiot Theory	2009	Katsutoshi Amano Akira Masuoka Mitsuhiro Takeuchi
+	FRT Construction for Dynamical Yang-Baxter Maps	2009	Youichi Shibukawa Mitsuhiro Takeuchi
+ PDF Chat	Morita equivalences induced by bimodules over Hopf–Galois extensions	2007	S. Caenepeel Septimiu Crivei Andrei Marcus Mitsuhiro Takeuchi
+	Representations of the Hopf algebra 𝑈(𝑛)	2007	Mitsuhiro Takeuchi
+	Morita equivalences induced by bimodules over Hopf-Galois extensions	2006	S. Caenepeel Septimiu Crivei Andrei Marcus Mitsuhiro Takeuchi
+ PDF Chat	A survey on Nichols algebras	2005	Mitsuhiro Takeuchi
+	A Short Course on Quantum Matrices	2002	Mitsuhiro Takeuchi
+	Modular Categories and Hopf Algebras	2001	Mitsuhiro Takeuchi
+	Survey of braided Hopf algebras	2000	Mitsuhiro Takeuchi
+	Bi-Frobenius algebras	2000	Yukio Doi Mitsuhiro Takeuchi
+	The Cylinder Product and Cylinder Matrices	1999	Mitsuhiro Takeuchi
+	Finite Hopf algebras in braided tensor categories	1999	Mitsuhiro Takeuchi
+	Cocycle Deformations of Coordinate Rings of Quantum Matrices	1997	Mitsuhiro Takeuchi
+ PDF Chat	The group ring of GLn(q) and the q-Schur algebra	1996	Mitsuhiro Takeuchi
+ PDF Chat	Book Review: Hopf algebras and their actions on rings	1995	Mitsuhiro Takeuchi
+	Quaternion algebras and hopf crossed products	1995	Yukio Doi Mitsuhiro Takeuchi
+	Quotient spaces for hopf algebras	1994	Mitsuhiro Takeuchi
+	The quantum hyperalgebra of 𝑆𝐿_{𝑞}(2)	1994	Mitsuhiro Takeuchi
+	Some topics on GLq(n)	1992	Mitsuhiro Takeuchi
+ PDF Chat	Finite dimensional representations of the quantum Lorentz group	1992	Mitsuhiro Takeuchi
+	Groups associated with some types of infinite dimensional Lie algebras	1992	Eiichi Abe Mitsuhiro Takeuchi
+	Hopf algebra techniques applied to the quantum group 𝑈_{𝑞}(𝑠𝑙(2))	1992	Mitsuhiro Takeuchi
+ PDF Chat	A new one-parameter family of $2\times 2$ quantum matrices	1991	Mitsuhiro Takeuchi Daisuke Tambara
+ PDF Chat	The q-bracket product and quantum enveloping algebras of classical types	1990	Mitsuhiro Takeuchi
+	Matric bialgebras and quantum groups	1990	Mitsuhiro Takeuchi
+ PDF Chat	A two-parameter quantization of ${GL}\left( n \right)$. (Summary)	1990	Mitsuhiro Takeuchi
+	A Hopf algebraic approach to the Picard-Vessiot theory	1989	Mitsuhiro Takeuchi
+	Hopf-Galois extensions of algebras, the Miyashita-Ulbrich action, and Azumaya algebras	1989	Yukio Doi Mitsuhiro Takeuchi
+ PDF Chat	Quantum orthogonal and symplectic groups and their embedding into quantum $GL$	1989	Mitsuhiro Takeuchi
+	Rigidity of maps from Hopf algebras to group algebras	1988	Alexandru Buium Mitsuhiro Takeuchi
+ PDF Chat	Morita theory --- Formal ring laws and monoidal equivalences of categories of bimodules ---	1987	Mitsuhiro Takeuchi
+	Cleft comodule algebras for a bialgebra	1986	Yukio Doi Mitsuhiro Takeuchi
+	ω krull rings, II	1986	Yukio Doi Mitsuhiro Takeuchi
+	Equivalences of categories of algebras	1985	Mitsuhiro Takeuchi
+	Erratum to Ä Simple Proof of the Extension Theorem of Sequences of Divided Powers in Characteristic p"	1984	Mitsuhiro Takeuchi
+ PDF Chat	Erratum: “A simple proof of the extension theorem of sequences of divided powers in characteristic 𝑝” [Proc. Amer. Math. Soc. 84 (1982), no. 2, 175–178; MR 83e:16011]	1984	Mitsuhiro Takeuchi
+	Generators and reiations for the hyperalgebras of reductive groups	1983	Mitsuhiro Takeuchi
+	A hyperalgebraic proof of the isomorphism and isogeny theorems for reductive groups	1983	Mitsuhiro Takeuchi
+	Complexes of categories with Abelian group structure	1983	Mitsuhiro Takeuchi K.-H. Ulbrich
+	Commutative Hopf algebras and cocommutative Hopf algebras in positive characteristic	1982	Mitsuhiro Takeuchi
+	A Simple Proof of the Extension Theorem of Sequences of Divided Powers in Characteristic p	1982	Mitsuhiro Takeuchi
+ PDF Chat	A simple proof of the extension theorem of sequences of divided powers in characteristic $p$	1982	Mitsuhiro Takeuchi
+	On Coverings and Hyperalgebras of Affine Algebraic Groups, III	1981	Mitsuhiro Takeuchi
+	Matched pairs of groups and bismash products of hopf algebras	1981	Mitsuhiro Takeuchi
+	Extad(Sp R, μ^) ∼-B^r(A/k)	1980	Mitsuhiro Takeuchi
+ PDF Chat	On extensions of Lie algebras by algebras	1980	Mitsuhiro Takeuchi
+	Relative Hopf modules—Equivalences and freeness criteria	1979	Mitsuhiro Takeuchi
+	Morita theorems for categories of comodules	1977	Mitsuhiro Takeuchi N. Iwahori
+ PDF Chat	Groups of algebras over A⊗A-	1977	Mitsuhiro Takeuchi
+	On extensions of formal groups by μ<sup>A</sup>	1977	Mitsuhiro Takeuchi
+	Formal schemes over fields<sup>∗</sup>	1977	Mitsuhiro Takeuchi
+	A characterization of the Galois subbialgebras Hk(KF)	1976	Mitsuhiro Takeuchi
+	On ksk-Galois theory for fields	1976	Mitsuhiro Takeuchi
+ PDF Chat	On Coverings and Hyperalgebras of Affine Algebraic Groups	1975	Mitsuhiro Takeuchi
+	On the structure of commutative affine group schemes over a non-perfect field	1975	Mitsuhiro Takeuchi
+ PDF Chat	On coverings and hyperalgebras of affine algebraic groups	1975	Mitsuhiro Takeuchi
+ PDF Chat	Tangent Coalgebras and Hyperalgebras I	1974	Mitsuhiro Takeuchi
+	On the theory of unipotent algebraic groups over an arbitrary ground field	1974	Tatsuji Kambayashi Masayoshi Miyanishi Mitsuhiro Takeuchi
+	Decomposition theorems for central extensions of co utative group schemes; application to the two-dimensional unipotent groups	1974	Tatsuji Kambayashi Masayoshi Miyanishi Mitsuhiro Takeuchi
+	Forms of vector groups; groups of Russell type	1974	Tatsuji Kambayashi Masayoshi Miyanishi Mitsuhiro Takeuchi
+	The question of commutativity for two-dimensional unipotent groups	1974	Tatsuji Kambayashi Masayoshi Miyanishi Mitsuhiro Takeuchi
+	Forms of the affine line and geometry of the groups of Russell type	1974	Tatsuji Kambayashi Masayoshi Miyanishi Mitsuhiro Takeuchi
+	The hyperalgebra of a unipotent group scheme	1974	Tatsuji Kambayashi Masayoshi Miyanishi Mitsuhiro Takeuchi
+	Actions of unipotent group schemes	1974	Tatsuji Kambayashi Masayoshi Miyanishi Mitsuhiro Takeuchi
+	The underlying scheme of a unipotent algebraic group	1974	Tatsuji Kambayashi Masayoshi Miyanishi Mitsuhiro Takeuchi
+ PDF Chat	Unipotent Algebraic Groups	1974	Tatsuji Kambayashi Masayoshi Miyanishi Mitsuhiro Takeuchi
+	A note on geometrically reductive groups	1973	Mitsuhiro Takeuchi N. Iwahori
+	Cohomologies over commutative Hopf algebras	1973	Mitsuhiro Takeuchi Yukio Doi
+	A correspondence between Hopf ideals and sub-Hopf algebras	1972	Mitsuhiro Takeuchi
+	On the dimension of the space of integrals of Hopf algebras	1972	Mitsuhiro Takeuchi
+ PDF Chat	On a semi-direct product decomposition of affine groups over a field of characteristic $0$	1972	Mitsuhiro Takeuchi
+ PDF Chat	Free Hopf algebras generated by coalgebras	1971	Mitsuhiro Takeuchi
+	There Exists a Hopf Algebra Whose Antipode is not Injective	1971	Mitsuhiro Takeuchi

Common Coauthors

Coauthor	Papers Together
Tatsuji Kambayashi	9
Masayoshi Miyanishi	9
Yukio Doi	6
Septimiu Crivei	2
Andrei Marcus	2
S. Caenepeel	2
Youichi Shibukawa	2
K.-H. Ulbrich	1
Alexandru Buium	1
Katsutoshi Amano	1
Akira Masuoka	1
N. Iwahori	1
N. Iwahori	1
Daisuke Tambara	1
Eiichi Abe	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A correspondence between Hopf ideals and sub-Hopf algebras	1972	Mitsuhiro Takeuchi	8
+	Affine Hopf algebras, I	1969	Robert G Heyneman Moss E. Sweedler	7
+	Groups of simple algebras	1974	Moss E. Sweedler	7
+	Affine Hopf algebras II	1970	Robert G Heyneman Moss E. Sweedler	7
+ PDF Chat	Tangent Coalgebras and Hyperalgebras I	1974	Mitsuhiro Takeuchi	6
+	Algebraic K-theory	1968	Hyman Bass	6
+ PDF Chat	Hopf algebras with one grouplike element	1967	Moss E. Sweedler	6
+	Quantum Groups	1994	Christian Kassel	6
+ PDF Chat	Cohomology of algebras over Hopf algebras	1968	Moss E. Sweedler	5
+	Quantum groups and quantum determinants	1992	Takahiro Hayashi	5
+	Hopf Algebras and Their Actions on Rings	1993	Susan Montgomery	5
+	Quantization of Lie Groups and Lie Algebras	1988	L. D. Faddeev Nicolai Reshetikhin Leon A. Takhtajan	5
+	Two dual classes of bialgebras related to the concepts of “quantum group” and “quantum lie algebra”	1991	Richard G. Larson Jacob Towber	4
+ PDF Chat	On coverings and hyperalgebras of affine algebraic groups	1975	Mitsuhiro Takeuchi	4
+	Quantum groupA ∞	1991	Serge Levendorskiǐ Yan Soibelman	4
+	Matric bialgebras and quantum groups	1990	Mitsuhiro Takeuchi	4
+	Introduction to Affine Group Schemes	1979	William C. Waterhouse	4
+	Relative Hopf modules—Equivalences and freeness criteria	1979	Mitsuhiro Takeuchi	4
+	Braided bialgebras and quadratic blalgebras	1993	Yukio Doi	4
+	On extensions of formal groups by μ<sup>A</sup>	1977	Mitsuhiro Takeuchi	3
+	The diamond lemma for ring theory	1978	George M. Bergman	3
+ PDF Chat	Quantum linear groups	1991	Brian Parshall Jian Pan Wang	3
+	Quantum groups and non-commutative geometry	1988	I︠u︡. I. Manin	3
+	LINEAR ALGEBRAIC GROUPS	1970	B. A. F. Wehrfritz	3
+	Differential Algebra and Algebraic Groups	2012	E. R. Kolchin	3
+ PDF Chat	Differential Function Fields and Moduli of Algebraic Varieties	1986	Alexandru Buium	3
+	Formal schemes over fields<sup>∗</sup>	1977	Mitsuhiro Takeuchi	3
+	Reflexivity and coalgebras of finite type	1974	Robert G Heyneman David E. Radford	3
+	Cleft comodule algebras for a bialgebra	1986	Yukio Doi Mitsuhiro Takeuchi	3
+	On the structure of relative hopf modules	1983	Yukio Doi	3
+ PDF Chat	A simple proof of the extension theorem of sequences of divided powers in characteristic $p$	1982	Mitsuhiro Takeuchi	3
+ PDF Chat	Classical solutions of the quantum Yang-Baxter equation	1992	Alan Weinstein Ping Xu	2
+	Brauer groups and Amitsur cohomology for general commutative ring extensions	1977	Orlando E. Villamayor Daniel Zelinsky	2
+	An introduction to differential algebra	1957	Irving Kaplansky	2
+ PDF Chat	QuantumR matrix for the generalized Toda system	1986	Michio Jimbo	2
+ PDF Chat	Pairings and actions for dynamical quantum groups	2006	Erik Koelink Yvette van Norden	2
+	A theory of linear descent based upon Hopf algebraic techniques	1969	Harry P Allen Moss E. Sweedler	2
+	Linear Algebraic Groups	1998	T. A. Springer	2
+ PDF Chat	Finite-dimensional Hopf algebras arising from quantized universal enveloping algebra	1990	G. Lusztig	2
+ PDF Chat	The predual theorem to the Jacobson-Bourbaki theorem	1975	Moss E. Sweedler	2
+	Linear algebraic groups	1966	Armand Borel	2
+ PDF Chat	Dynamical Yang-Baxter Equation and Quantum Vector Bundles	2005	J. Donin Andrey Mudrov	2
+ PDF Chat	Central separable algebras with purely inseparable splitting rings of exponent one	1971	Shuen Yuan	2
+	Cocycle Deformations of Coordinate Rings of Quantum Matrices	1997	Mitsuhiro Takeuchi	2
+	Quantum deformation of flag schemes and Grassmann schemes. I. A q-deformation of the shape-algebra for GL(n)	1991	Earl J. Taft Jacob Towber	2
+ PDF Chat	On the set-theoretical Yang-Baxter equation	2000	Jiang-Hua Lu Min Yan Yongchang Zhu	2
+	Classification-theory of semi-simple algebraic groups	1967	一郎佐武光夫杉浦 Doris Schattschneider	2
+ PDF Chat	Solutions of the Quantum Dynamical Yang-Baxter Equation and Dynamical Quantum Groups	1998	Pavel Etingof Alexander Varchenko	2
+ PDF Chat	Sequences of divided powers in irreducible, cocommutative Hopf algebras	1972	Kenneth Newman	2
+	Quasigroups and loops : introduction	1990	Hala O. Pflugfelder	2