Hopf Bimodules, Coquasibialgebras, and an Exact Sequence of Kac
نویسندگان
چکیده
منابع مشابه
C-pseudo-multiplicative unitaries and Hopf C-bimodules
We introduce C∗-pseudo-multiplicative unitaries and concrete Hopf C∗-bimodules for the study of quantum groupoids in the setting of C∗-algebras. These unitaries and Hopf C∗-bimodules generalize multiplicative unitaries and Hopf C∗-algebras and are analogues of the pseudo-multiplicative unitaries and Hopf–von Neumann-bimodules studied by Enock, Lesieur and Vallin. To each C∗-pseudo-multiplicativ...
متن کاملQuasi-Exact Sequence and Finitely Presented Modules
The notion of quasi-exact sequence of modules was introduced by B. Davvaz and coauthors in 1999 as a generalization of the notion of exact sequence. In this paper we investigate further this notion. In particular, some interesting results concerning this concept and torsion functor are given.
متن کاملHopf-galois Extensions and an Exact Sequence for H-picard Groups
1 → H(H,Z(A)) g1 → Pic(A) g2 → Pic(A) g3 → H(H,Z(A)). Here H∗(H,Z(AcoH)) are the Sweedler cohomology groups (with respect to the Miyashita-Ulbrich action of H on Z(AcoH)), Pic(AcoH)H is the group of H-invariant elements of Pic(AcoH) and Pic(A) is the group of isomorphism classes of invertible relative Hopf bimodules. We shall give later more details about these notations. Moreover, g1 and g2 ar...
متن کاملMorita Equivalences Induced by Bimodules over Hopf-galois Extensions
Let H be a Hopf algebra, and A, B be H-Galois extensions. We investigate the category AM H B of relative Hopf bimodules, and the Morita equivalences between A and B induced by them. Introduction This paper is a contribution to the representation theory of Hopf-Galois extensions, as originated by Schneider in [15]. More specifically, we consider the following questions. Let H be a Hopf algebra, ...
متن کاملRing-shaped exact Hopf solitons
The existence of ring-like structures in exact hopfion solutions is shown.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2002
ISSN: 0001-8708
DOI: 10.1006/aima.2001.2016