The Brauer group of Sweedler’s Hopf algebra $H_4$
نویسندگان
چکیده
منابع مشابه
The Brauer Group of a Hopf Algebra
Let H be a Hopf algebra with a bijective antipode over a commutative ring k with unit. The Brauer group of H is defined as the Brauer group of Yetter–Drinfel’d H-module algebras, which generalizes the Brauer–Long group of a commutative and cocommutative Hopf algebra and those known Brauer groups of structured algebras.
متن کاملThe Hopf Algebra of a Uniserial Group
Let k be an algebraically closed field of characteristic p > 0. The purpose of this paper is to describe the Hopf algebra of a finite commutative infinitesimal unipotent k-group scheme which is uniserial, i.e., which has a unique composition series. As there is only one simple finite commutative infinitesimal unipotent group scheme (namely αp := ker {F : Ga → Ga} , with Ga being the additive gr...
متن کاملQuantum deformations of the Lorentz group . The Hopf ∗ - algebra level
Three properties characteristic for the Lorentz group are selected and all quantum groups with the same properties are found. As a result, a number of one, two and three parameter quantum deformations of the Lorentz group are discovered. The deformations described in [1] and [2] are among them. Only the Hopf ∗-algebra level is discussed.
متن کاملA Modified Brauer Algebra as Centralizer Algebra of the Unitary Group
The centralizer algebra of the action of U(n) on the real tensor powers ⊗RV of its natural module, V = Cn, is described by means of a modification in the multiplication of the signed Brauer algebras. The relationships of this algebra with the invariants for U(n) and with the decomposition of ⊗RV into irreducible submodules is considered.
متن کاملGorenstein global dimensions for Hopf algebra actions
Let $H$ be a Hopf algebra and $A$ an $H$-bimodule algebra. In this paper, we investigate Gorenstein global dimensions for Hopf algebras and twisted smash product algebras $Astar H$. Results from the literature are generalized.
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: Proceedings of the American Mathematical Society
سال: 2000
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-00-05628-8