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(Q3719)
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math0003199.3
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defining formula
g
=
h
⊕
α
∈
h
∗
g
α
b
=
h
⊕
α
∈
R
+
g
α
{\displaystyle {\mathfrak {g}}={\mathfrak {h}}\oplus _{\alpha \in {\mathfrak {h}}^{*}}{\mathfrak {g}}_{\alpha }\ \ \ \ \ {\mathfrak {b}}={\mathfrak {h}}\oplus _{\alpha \in R^{+}}{\mathfrak {g}}_{\alpha }}
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in defining formula
α
{\displaystyle \alpha }
symbol represents (string)
Racine simple
0 references
g
{\displaystyle {\mathfrak {g}}}
symbol represents
Lie algebra
0 references
b
{\displaystyle {\mathfrak {b}}}
symbol represents (string)
Borel
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R
+
{\displaystyle R^{+}}
symbol represents (string)
Set of positive roots
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h
{\displaystyle {\mathfrak {h}}}
symbol represents
Cartan subalgebra
0 references
h
∗
{\displaystyle {\mathfrak {h}}^{*}}
symbol represents (string)
Dual of a Weyl Chamber
0 references
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⧼wikibase-sitelinks-mathematics⧽
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