Zobrazeno 1 - 10
of 126
pro vyhledávání: '"Masuoka, Akira"'
Autor:
Takahashi, Yuta, Masuoka, Akira
We describe the structure of the quotient $\mathfrak{G}/\mathfrak{H}$ of a formal supergroup $\mathfrak{G}$ by its formal sub-supergroup $\mathfrak{H}$. This is a consequence which arises as a continuation of the authors' work (partly with M. Hashi)
Externí odkaz:
http://arxiv.org/abs/2403.19058
Autor:
Masuoka, Akira
M. Takeuchi (1989) proposed a Hopf-algebraic approach to Picard-Vessiot (or PV) theory, giving a new definition of PV extensions by which such extensions become more smoothly connected, through Hopf-Galois extensions, to the associated affine group s
Externí odkaz:
http://arxiv.org/abs/2307.01997
Torsors under affine groups are generalized in the super context by super-torsors under affine super-groups. We investigate those super-torsors by using Hopf-algebra language and techniques. It is explicitly shown, under suitable assumptions, that ev
Externí odkaz:
http://arxiv.org/abs/2101.03461
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:
http://arxiv.org/abs/2003.05100
Autor:
Masuoka, Akira, Shimada, Yuta
Discussed here is descent theory in the differential context where everything is equipped with a differential operator. To answer a question personally posed by A. Pianzola, we determine all twisted forms of the differential Lie algebras over $\mathb
Externí odkaz:
http://arxiv.org/abs/1912.10705
Autor:
Masuoka, Akira, Takahashi, Yuta
It was proved by the first-named author and Zubkov [13] that given an affine algebraic supergroup $\mathbb{G}$ and a closed sub-supergroup $\mathbb{H}$ over an arbitrary field of characteristic $\ne 2$, the faisceau $\mathbb{G} \tilde{/} \mathbb{H}$
Externí odkaz:
http://arxiv.org/abs/1808.05753
Publikováno v:
Journal of Algebra 562 (2020), 28--93
We show basic results on super-manifolds and super Lie groups over a complete field of characteristic $\ne 2$, extensively using Hopf-algebraic techniques. The main results are two theorems. The first main theorem shows a category equivalence between
Externí odkaz:
http://arxiv.org/abs/1706.02839
Autor:
Masuoka, Akira, Nakazawa, Atsuya
By finite quantum groups we mean Lusztig's finite-dimensional pointed Hopf algebras called quantum Frobenius Kernels [9, 10], and their natural generalizations due to Andruskiewitsch and Schneider [2, 3]. For a Hopf algebra $H$ in a special class of
Externí odkaz:
http://arxiv.org/abs/1611.06325
Autor:
Masuoka, Akira, Shibata, Taiki
To construct an affine supergroup from a Harish-Chandra pair, Gavarini [2] invented a natural method, which first constructs a group functor and then proves that it is representable. We give a simpler and more conceptual presentation of his construct
Externí odkaz:
http://arxiv.org/abs/1505.06558
Autor:
Masuoka, Akira, Zubkov, Alexandr N.
We study solvability, nilpotency and splitting property for algebraic supergroups over an arbitrary field $K$ of characteristic $\mathrm{char}\, K \ne 2$. Our first main theorem tells us that an algebraic supergroup $\mathbb{G}$ is solvable if the as
Externí odkaz:
http://arxiv.org/abs/1502.07021