Hopf algebraic techniques applied to super algebraic groups

Abstract

Reproducing my talk at Algebra Symposium held at Hiroshima University, August 26--29, 2013, I review recent results on super algebraic groups, emphasizing results obtained by myself and my coauthors using Hopf algebraic techniques. The results are all basic, and I intend to make this report into a somewhat informal introduction to the subject.

Corrected typos on Page 2, line 13 and on Page 9, line 14, adding Footnote 5 for the latter; corrected Condition 2 of Lemma 7.3; Up-dated the References

References in corpus (3)

• A new proof of the Mullineux conjecture
• Semisimple algebraic tensor categories
• Mini-course on Hopf algebras--Hopf crossed products--

Cited by in corpus (7)

• Hopf-algebraic techniques applied to super Lie groups over a complete field
• Finite symmetric integral tensor categories with the Chevalley property
• Affine algebraic super-groups with integral
• Geometric construction of quotients $G/H$ in supersymmetry
• On the double of the (restricted) super Jordan plane
• Homotopy quotients and comodules of supercommutative Hopf algebras
• Solvability and nilpotency for algebraic supergroups