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) ≥ 0 {\displaystyle (\lambda ,\gamma )\geq 0} is known as the fundamental Weyl chamber associated to the given set of positive roots. A weight λ {\displaystyle...

are the Weyl chambers and the shaded region is the fundamental Weyl chamber associated to the indicated base. A basic general theorem about Weyl chambers...

one alcove of the Stiefel diagram may be obtained by taking the fundamental Weyl chamber and cutting it by a translate of the hyperplane perpendicular to...

are the Weyl chambers and the shaded region is the fundamental Weyl chamber associated to the indicated base. A basic general theorem about Weyl chambers...

a unique Weyl group element w 0 {\displaystyle w_{0}} mapping the negative of the fundamental Weyl chamber to the fundamental Weyl chamber. Then if we...

group of elements that normalize a fixed maximal torus and fix the fundamental Weyl chamber. This is sometimes called the large Cartan subgroup. There is also...

If λ {\displaystyle \lambda } is sufficiently far inside the fundamental Weyl chamber and μ {\displaystyle \mu } is sufficiently close to λ {\displaystyle...

Exceptional Lie algebra free Lie algebra F F4 fundamental For "fundamental Weyl chamber", see #Weyl. G G2 generalized 1.  For "Generalized Cartan matrix"...

{\tilde {\lambda }}+\delta } is on the wall of the fundamental Weyl chamber (δ is the sum of all fundamental weights). For any two weights λ , μ {\displaystyle...

{\tilde {\lambda }}+\delta } is on the wall of the fundamental Weyl chamber (δ is the sum of all fundamental weights). By a homomorphism of GVMs we mean g...

Majorana–Weyl spinor Peter–Weyl theorem Schur–Weyl duality Weyl algebra Weyl basis of the gamma matrices Weyl chamber Weyl character formula Weyl equation...

they are conjugate under the Weyl group WK of the maximal compact subgroup K. If we fix a fundamental chamber for the Weyl group of K, then the discrete...

}} which lie wholly in the positive Weyl chamber for g 1 {\displaystyle {\mathfrak {g}}_{1}} . Crystal basis Weyl 1953 Humphreys 1994 Every complex semisimple...

of visualized thought experiments (German: Gedankenexperiment) as a fundamental tool for understanding physical issues and for elucidating his concepts...

_{j}^{v})=\delta _{ij}} , is called the fundamental dominant weights. 7.  highest weight Weyl 1.  Hermann Weyl 2.  The Weyl character formula expresses the character...

electrons having either positive or negative energy as solutions. Hermann Weyl then published a paper discussing the mathematical implications of the negative...

metrology and fundamental constants. IOS Press. p. 453. ISBN 978-1-58603-167-1. Duff, M. J. (2004). "Comment on time-variation of fundamental constants"...

reductive group over a finite field determines a root datum (with choice of Weyl chamber) together with an action of the Frobenius element on it. The dual group...

composition of the matter. Rest mass, also called invariant mass, is a fundamental physical property that is independent of momentum, even at extreme speeds...

diagrams. The different Weyl chambers correspond in fact to different non-isomorphic Nichols algebras which are called Weyl-equivalent. Quantum groups...