Zobrazeno 1 - 10
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pro vyhledávání: '"Kaneda, Masaharu"'
Autor:
Gros, Michel, Kaneda, Masaharu
For a simply connected semisimple algebraic group over an algebraically closed field of positive characteristic we have already constructed a splitting of the Frobenius endomorphism on its algebra of distributions. We generalize the construction to t
Externí odkaz:
http://arxiv.org/abs/1712.06835
Autor:
Gros, Michel, Kaneda, Masaharu
For a reductive group G defined over an algebraically closed field of positive characteristic, we show that the Frobenius contraction functor of G-modules is right adjoint to the Frobenius twist of the modules tensored with the Steinberg module twice
Externí odkaz:
http://arxiv.org/abs/1707.00960
Autor:
Kaneda, Masaharu
Publikováno v:
Journal of Algebra 512 (2018) 160-188
We present an example of a homogeneous projective variety the Frobenius direct image of the structure sheaf of which has nonvanishing self extension.
Comment: An error in (3.4) is corrected. An appendix is added to recall some previous work. An
Comment: An error in (3.4) is corrected. An appendix is added to recall some previous work. An
Externí odkaz:
http://arxiv.org/abs/1704.01780
Autor:
Abe, Noriyuki, Kaneda, Masaharu
Let $G$ be a reductive algebraic group over an algebraically closed field of positive characteristic, $G_1$ the Frobenius kernel of $G$, and $T$ a maximal torus of $G$. We show that the $G_1T$-Verma modules of singular highest weights are all rigid,
Externí odkaz:
http://arxiv.org/abs/1501.07029
Autor:
Gros, Michel, Kaneda, Masaharu
We show that the quantum Frobenius morphism constructed by Lusztig in the setting of the quantum enveloping algebra specialized at a root of unity admits a multiplicative splitting (non unital). We also find a basis of the toral part of the small qua
Externí odkaz:
http://arxiv.org/abs/1302.2437
Autor:
Abe, Noriyuki, Kaneda, Masaharu
Assuming the Lusztig conjecture on the irreducible characters for reductive algebraic groups in positive characteristic $p$, which is now a theorem for large $p$, we show that the modules for their Frobenius kernels induced from the simple modules of
Externí odkaz:
http://arxiv.org/abs/1210.1734
In the case of an almost simple algebraic group $G$ of type $G_2$ over a field of characteristic $p>0$ we study the cohomology modules of line bundles on the flag variety for $G$. Our main result is a complete determination of the vanishing behavior
Externí odkaz:
http://arxiv.org/abs/1107.3055
Autor:
Gros, Michel, Kaneda, Masaharu
Let G be a simply connected semisimple algebraic group over an algebraically closed field k of positive characteristic. We will untwist the structure of G-modules by a newly found splitting of the Frobenius endomorphism on the algebra of distribution
Externí odkaz:
http://arxiv.org/abs/1004.1939
Autor:
Kaneda, Masaharu, Ye, Jiachen
Let $\cP=G/P$ be a homogeneous projective variety with $G$ a reductive group and $P$ a parabolic subgroup. In positive characteristic we exhibit for $G$ of low rank a Karoubian complete strongly exceptional poset of locally free sheaves appearing in
Externí odkaz:
http://arxiv.org/abs/0911.2568
Let $U_q$ denote the quantum group associated with a finite dimensional semisimple Lie algebra. Assume that $q$ is a complex root of unity of odd order and that $U_q$ is %the quantum group version obtained via Lusztig's $q$-divided powers constructio
Externí odkaz:
http://arxiv.org/abs/0909.2935