Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Semi-ramified Quadrangles of Type E6, E7 and E8
View through CrossRef
This chapter deals with the case that the building at infinity of the Bruhat-Tits building Ξ is a Moufang semi-ramified quadrangle of type E⁶, E₇ and E₈. The basic proposition is that Ξ is a semi-ramified quadrangle if δΛ = 1 and δΨ = 2 holds. The chapter first considers the theorem supposing that ℓ = 6, that δΛ = 1 and δΨ = 2, and that the Moufang residues R0 and R1 are not both indifferent. This is followed by cases ℓ = 7 and ℓ = 8 as well as theorems concerning an anisotropic pseudo-quadratic space, a quaternion division algebra, standard involution, a proper involutory set, and isotropic and anisotropic quadratic spaces.
Princeton University Press
Title: Semi-ramified Quadrangles of Type E6, E7 and E8
Description:
This chapter deals with the case that the building at infinity of the Bruhat-Tits building Ξ is a Moufang semi-ramified quadrangle of type E⁶, E₇ and E₈.
The basic proposition is that Ξ is a semi-ramified quadrangle if δΛ = 1 and δΨ = 2 holds.
The chapter first considers the theorem supposing that ℓ = 6, that δΛ = 1 and δΨ = 2, and that the Moufang residues R0 and R1 are not both indifferent.
This is followed by cases ℓ = 7 and ℓ = 8 as well as theorems concerning an anisotropic pseudo-quadratic space, a quaternion division algebra, standard involution, a proper involutory set, and isotropic and anisotropic quadratic spaces.
Related Results
Quadrangles of Type E6, E7 and E8: Summary
Quadrangles of Type E6, E7 and E8: Summary
This chapter summarizes the different cases about Moufang quadrangles of type E⁶, E₇ and E₈. The first case is that the building at infinity of the Bruhat-Tits building Ξ is an un...
Ramified Quadrangles of Type E6, E7 and E8
Ramified Quadrangles of Type E6, E7 and E8
This chapter deals with the case that the building at infinity of the Bruhat-Tits building Ξ is a Moufang ramified quadrangle of type E⁶, E₇ and E₈. The basic proposition is that ...
Unramified Quadrangles of Type E6, E7 and E8
Unramified Quadrangles of Type E6, E7 and E8
This chapter deals with the case that the building at infinity of the Bruhat-Tits building Ξ is a Moufang quadrangle of type E⁶, E₇, and E₈. It begins with a hypothesis that takes...
Giving Type Meaning
Giving Type Meaning
When we encounter typography, how do we know what it means? How is the tone of type influenced by the way it is set, when it is made, and where it exists? Considering the social, s...
Quadratic Forms of Type E6, E7 and E8
Quadratic Forms of Type E6, E7 and E8
This chapter presents various results about quadratic forms of type E⁶, E₇, and E₈. It first recalls the definition of a quadratic space Λ = (K, L, q) of type Eℓ for ℓ = 6, 7 or 8...
Technology of catering products. Practicum
Technology of catering products. Practicum
The textbook discusses the production processes of semi-finished products and dishes for catering enterprises. The regulatory and technological documentation, as well as its practi...
Hypersensitivity diseases
Hypersensitivity diseases
Hypersensitivity reactions are aberrant immune responses that are provoked by innocuous extrinsic or self-antigens, are mediated by B-cells or T-cells, and may result in tissue or ...
Enclosed Gardens of Mechelen
Enclosed Gardens of Mechelen
During the Late Middle Ages a unique type of ‘mixed media’ recycled and remnant art arose in houses of religious women in the Low Countries: enclosed gardens. They date from the ti...