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40 sonuçtan 1-3 arası sonuçlar
Sayfa 77
CLASSICAL ROOT LATTICES Here we present the necessary information
concerning the lattices Z " , Dn , An , En and ... of integral automorphisms O E GL ,
( Z ) such that Qllo ] = Ql . A lattice L is said to be integral ( odd or even ) if its
matrix ...
CLASSICAL ROOT LATTICES Here we present the necessary information
concerning the lattices Z " , Dn , An , En and ... of integral automorphisms O E GL ,
( Z ) such that Qllo ] = Ql . A lattice L is said to be integral ( odd or even ) if its
matrix ...
Sayfa 78
The n - dimensional zero - sum root lattice An { x € Zn + 1 : xo +21+ + In = = 0 } is
an even sublattice of Zn + l ; the generator matrix and the Gram matrices ( of two
shapes ) look as follows : -1 M = -1 1 c 1 or 1 or 1164 , ) n or 2 1 1 2 -1 -1 2 -1 1 2
...
The n - dimensional zero - sum root lattice An { x € Zn + 1 : xo +21+ + In = = 0 } is
an even sublattice of Zn + l ; the generator matrix and the Gram matrices ( of two
shapes ) look as follows : -1 M = -1 1 c 1 or 1 or 1164 , ) n or 2 1 1 2 -1 -1 2 -1 1 2
...
Sayfa 81
15.6 . We recall some notions related to the embeddings of lattices . As usual , by
a lattice L we mean a free Z - module of finite rank with nondegenerate symmetric
bilinear form ( : , - ) taking integral values ( cf. Subsection 14.1 ) . If { e1 , ... , en } ...
15.6 . We recall some notions related to the embeddings of lattices . As usual , by
a lattice L we mean a free Z - module of finite rank with nondegenerate symmetric
bilinear form ( : , - ) taking integral values ( cf. Subsection 14.1 ) . If { e1 , ... , en } ...
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İçindekiler
REPRESENTATION OF A FORM | 17 |
10 The automorphism groups of discriminant forms | 59 |
12 A general formula for the weight of representations | 65 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
apply arbitrary assume assumptions asymptotics bases basis belongs boundary bounded classical coefficients coincides compact complex condition Consequently consider constant construction contains continuous convex corresponding curve decomposition defined definition denote depends described determined differential dimension direct discrete domain eigenfunctions eigenvalues elements English equal equation estimate example exists factor field finite fixed formula function given gives graph implies independent inequality integral introduce invariant lattice Lemma limit linear manifolds Math Mathematical matrix measure method Moreover observe obtain operator orbits particular periodic perturbation Phys positive potential present problem Proof properties Proposition prove quantum relation Remark representations respect restriction result satisfies similar smooth solutions space spectral spectrum statement Subsection sufficiently surface symbol Theorem theory transformation transl unique values vector