Publications

Publications

• Taiki Shibata,
  Frobenius Kernels of Algebraic Supergroups and Steinberg's Tensor Product Theorem, Algebras and Representation Theory 27, no.1, 927–959 (2024)

• Taiki Shibata, Kenichi Shimizu,
  Nakayama functors for coalgebras and their applications to Frobenius tensor categories, Advances in Mathematics, Volume 419 (2023)

• Jun Morita, Arturo Pianzola, Taiki Shibata,
  Affine Kac-Moody Groups and Lie Algebras in the Language of SGA3, Journal of Pure and Applied Algebra, Volume 227, Issue 7 (2023)

• Jun Morita, Arturo Pianzola, Taiki Shibata,
  Affine Kac-Moody Groups as Twisted Loop Groups obtained by Galois Descent Considerations, Mathematical Journal of Okayama University, Volume 65, 35-81 (2023)

• Akira Masuoka, Taiki Shibata, Yuta Shimada,
  Affine algebraic super-groups with integral, Communications in Algebra, Volume 50, Issue 2, 615-634 (2022)

• Taiki Shibata,
  Algebraic Supergroups and Their Representations, Proceedings of the International Workshop on Hopf Algebras and Tensor Categories, Contemporary Mathematics Vol.771 (2021)

• Taiki Shibata, Kenichi Shimizu,
  Modified traces and the Nakayama functor, Algebras and Representation Theory, 26, 513-551 (2021)

• Taiki Shibata, Kenichi Shimizu,
  Categorical aspects of cointegrals on quasi-Hopf algebras, Journal of Algebra, Volume 564, 353-411 (2020)

• Taiki Shibata,
  Borel-Weil Theorem for Algebraic Supergroups, Journal of Algebra, Volume 547, 179-219 (2020)

• Akira Masuoka, Taiki Shibata,
  On functor points of affine supergroups, Journal of Algebra, Volume 503, Number 1, Pages 534-572 (2018)

• Akira Masuoka, Taiki Shibata,
  Algebraic supergroups and Harish-Chandra pairs over a commutative ring, Transactions of the American Mathematical Society, Volume 369, Number 5, Pages 3443–3481, (2017)

• Tatsuo Kimura, Yoshiteru Kurosawa, Taiki Shibata,
  A note on some PV-equivalence, Far East Journal of Mathematical Sciences, Vol.63, No.2, pp.269-280 (2012)

Preprints etc.

• Taiki Shibata, Kenichi Shimizu,
  Exact sequences of Frobenius tensor categories, [arXiv:2303.14687]

• Taiki Shibata, Ryota Wakao,
  On classification of Hopf superalgebras of low dimension, [arXiv:2306.04122]

• Taiki Shibata, Kenichi Shimizu, Ryota Wakao,
  Pointed Hopf superalgebras of dimension up to 10, [arXiv:2306.12637]

• Taiki Shibata,
  Typical representations for algebraic supergroups, (preparation)

Proceedings

• Taiki Shibata,
  Algebraic supergroups over a PID, 16th Workshop on Representation Theory of Algebraic Groups and Quantum Groups (RAQ), pp.45-58 (2013) [Abstract]

• Taiki Shibata,
  Supergroups over Z, Research Institute for Mathematical Sciences (RIMS) Kôkyûroku, No.1840, pp.149-164 (2013) [Available online]