Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Linked Tori, I
View through CrossRef
This chapter investigates the consequences of the assumption that one Moufang set is weakly isomorphic to another. It first introduces some well-known facts about involutions which are assembled in a few lemmas, including those dealing with an involutory set, a biquaternion division algebra, and a quaternion division algebra with a standard involution. It then presents a notation for a non-trivial anisotropic quadratic space and another for an involutory set are presented, along with assumptions for a pointed anisotropic quadratic space and the standard involution of a quaternion. It also makes a number of propositions regarding the standard involution of a quaternion and a biquaternion. Results about weak isomorphisms between Moufang sets arising from involutory sets are given.
Princeton University Press
Title: Linked Tori, I
Description:
This chapter investigates the consequences of the assumption that one Moufang set is weakly isomorphic to another.
It first introduces some well-known facts about involutions which are assembled in a few lemmas, including those dealing with an involutory set, a biquaternion division algebra, and a quaternion division algebra with a standard involution.
It then presents a notation for a non-trivial anisotropic quadratic space and another for an involutory set are presented, along with assumptions for a pointed anisotropic quadratic space and the standard involution of a quaternion.
It also makes a number of propositions regarding the standard involution of a quaternion and a biquaternion.
Results about weak isomorphisms between Moufang sets arising from involutory sets are given.
Related Results
Tori Amos’s Boys for Pele
Tori Amos’s Boys for Pele
It’s hard to think of a solo female recording artist who has been as revered or as reviled over the course of her career as Tori Amos. Amy Gentry argues that these violent aestheti...
Duchenne’s Muscular Dystrophy
Duchenne’s Muscular Dystrophy
Duchenne’s muscular dystrophy (DMD) is a progressive X-linked recessive disorder that affects boys and female carriers. It is the most common dystrophy with onset in childhood in t...
Linked Tori, II
Linked Tori, II
This chapter proves several more results about weak isomorphisms between Moufang sets arising from quadratic forms and involutory sets. It first fixes a non-trivial anisotropic qua...
The Hamilton-Jacobi Equation and Weak KAM Theory
The Hamilton-Jacobi Equation and Weak KAM Theory
This chapter describes another interesting approach to the study of invariant sets provided by the so-called weak KAM theory, developed by Albert Fathi. This approach can be consid...
From KAM Theory to Aubry-Mather Theory
From KAM Theory to Aubry-Mather Theory
This chapter discusses an illustrative example, namely the properties of invariant probability measures and orbits on KAM tori (or more generally, on invariant Lagrangian graphs). ...
Slayer's Reign in Blood
Slayer's Reign in Blood
Issued on America’s premier rap label at the peak of the thrash metal movement, Slayer’s controversial Reign in Blood remains the gold standard for extreme heavy metal, a seamless ...