Root operators, root groups and retractions
نویسندگان
چکیده
منابع مشابه
Root Operators and “Evolution” Equations
Root-operator factorization à la Dirac provides an effective tool to deal with equations, which are not of evolution type, or are ruled by fractional differential operators, thus eventually yielding evolution-like equations although for a multicomponent vector. We will review the method along with its extension to root operators of degree higher than two. Also, we will show the results obtained...
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15 صفحه اولRoot filtration spaces from Lie algebras and abstract root groups
Both Timmesfeld’s abstract root subgroups and simple Lie algebras generated by extremal elements lead to root filtration spaces: synthetically defined geometries on points and lines which can be characterized as root shadow spaces of buildings. Here we show how to obtain the root filtration space axioms from root subgroups and classical Lie algebras.
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This is a brief review of root systems and Coxeter groups, intended as background material for a course on double affine Hecke algebras and Macdonald polynomials. They are still incomplete in places. 1. Root systems Much of this material can be found in [Bou]. Let V be a real vector space with a positive definite inner product 〈·, ·〉. If α ∈ V is a non-zero vector, define the reflection sα in t...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Algebra
سال: 2018
ISSN: 2415-6302
DOI: 10.4171/jca/2-3-1