St. Petersburg Mathematical Journal, 8. cilt,1-542. sayfalarAmerican Mathematical Society, 1997 |
Kitabın içinden
18 sonuçtan 1-3 arası sonuçlar
Sayfa 77
§14 . CLASSICAL ROOT LATTICES Here we present the necessary information concerning the lattices Z " , Dn , An , En ... integral automorphisms σ € GL , ( Z ) such that Q1 [ o ] = QL . A lattice L is said to be integral ( odd or even ) if ...
§14 . CLASSICAL ROOT LATTICES Here we present the necessary information concerning the lattices Z " , Dn , An , En ... integral automorphisms σ € GL , ( Z ) such that Q1 [ o ] = QL . A lattice L is said to be integral ( odd or even ) if ...
Sayfa 78
... lattices En for n 6,7,8 . Here Es is the first even unimodular lattice ; it consists of the vectors x € ( ≥Z ) 8 such that the coordinates ¤¿ of x are either all integral or all half - integral and their sum is even . The Gram matrix ...
... lattices En for n 6,7,8 . Here Es is the first even unimodular lattice ; it consists of the vectors x € ( ≥Z ) 8 such that the coordinates ¤¿ of x are either all integral or all half - integral and their sum is even . The Gram matrix ...
Sayfa 81
... 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 } is a basis of L , then QL ( ( ei , ej ) ...
... 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 } is a basis of L , then QL ( ( ei , ej ) ...
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 | |
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2can a₁ arbitrary assume assumptions asymptotics b₁ boundary bounded classical coefficients compact condition congruence constant construction convex convex hull corresponding curvature curve decomposition defined definition denote differential dimension discrete domain eigenfunctions eigenvalues elliptic English transl equation ergodic estimate exists finite fixed formula function genus gradient flow Grassmannians H₁ Hilbert space implies inequality integral invariant inverse isometric isospectral labeled graph lattice Lemma linear M₁ manifolds Math Mathematics Subject Classification matrix Moreover Morse functions nonzero obtain orbifolds orthogonal parameter periodic orbits perturbation Phys positive potential problem Proposition prove quadratic forms quantization quantum relation respect result satisfies Schrödinger equation Schrödinger operator selfadjoint semiclassical solutions space spectral spectrum square free Subsection subspace symbol symmetric theory vector wavelet Wiener zero