Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Taiki Shibata"'
Autor:
Kazuo Toyota, Satoru Yamamoto, Shigeaki Nakazawa, Koji Maruyama, Kenji Sugisaki, Daisuke Shiomi, Kazunobu Sato, Elham Hosseini Lapasar, Takeji Takui, Taiki Shibata
Publikováno v:
Applied Magnetic Resonance. 53(3-5):777-796
Quantum state control is one of the most important concepts in advanced quantum technology, emerging quantum cybernetics and related fields. Molecular open shell entities can be a testing ground for implementing quantum control technology enabling us
Autor:
Taiki Shibata
Publikováno v:
Contemporary Mathematics. :255-266
Autor:
Kenichi Shimizu, Taiki Shibata
We organize the modified trace theory with the use of the Nakayama functor of finite abelian categories. For a linear right exact functor $\Sigma$ on a finite abelian category $\mathcal{M}$, we introduce the notion of a $\Sigma$-twisted trace on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1388013d01b0cd093ef2b484224b4168
http://arxiv.org/abs/2103.13702
http://arxiv.org/abs/2103.13702
In infinite-dimensional Lie theory, the affine Kac-Moody Lie algebras and groups play a distinguished role due to their many applications to various areas of mathematics and physics. Underlying these infinite-dimensional objects there are closely rel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8b30eec4c88c795d8a8eda4606719c88
We generalize to the super context, the known fact that if an affine algebraic group $G$ over a commutative ring $k$ acts freely (in an appropriate sense) on an affine scheme $X$ over $k$, then the dur sheaf $X\tilde{\tilde{/}}G$ of $G$-orbits is an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66a0587266925415944e7c9d57eaefca
http://arxiv.org/abs/2003.05100
http://arxiv.org/abs/2003.05100
Autor:
Akira Masuoka, Taiki Shibata
Publikováno v:
Transactions of the American Mathematical Society. 369:3443-3481
We prove a category equivalence between algebraic supergroups and Harish-Chandra pairs over a commutative ring which is $2$-torsion free. The result is applied to re-construct the Chevalley $\mathbb{Z}$-supergroups constructed by Fioresi and Gavarini
Publikováno v:
Journal of Japan Society of Civil Engineers, Ser. B2 (Coastal Engineering). 76:I_1129-I_1134
Publikováno v:
Journal of Japan Society of Civil Engineers, Ser. B3 (Ocean Engineering). 76:I_1037-I_1042
Autor:
Taiki Shibata
We study the structure of an algebraic supergroup $\mathbb{G}$ and establish the Borel-Weil theorem for $\mathbb{G}$ to give a systematic construction of all simple supermodules over an arbitrary field. Especially when $\mathbb{G}$ has a distinguishe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0e69e8718cc1f6facc48e0cd80e90e60
Autor:
Kenichi Shimizu, Taiki Shibata
We discuss relations between some category-theoretical notions for a finite tensor category and cointegrals on a quasi-Hopf algebra. Specifically, for a finite-dimensional quasi-Hopf algebra $H$, we give an explicit description of categorical cointeg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3f2ff7a1f84c2b4191a4d1e34800f627