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Garrett P. — Buildings and Classical Groups
Garrett P. — Buildings and Classical Groups

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Название: Buildings and Classical Groups

Автор: Garrett P.

Язык: en

Рубрика: Математика/Алгебра/Теория групп/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1995

Количество страниц: 333

Добавлена в каталог: 12.12.2004

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Adjacent      3.1
Adjacent, s-      3.1
Affine, building      14.1
Affine, combination      12.1
Affine, Coxeter complex      13.4 13.6
Affine, Coxeter system      2.2 13.4
Affine, functional      12.1
Affine, Hecke algebra      6.1 6.2
Affine, hyperplane      12.1
Affine, independence      12.1
Affine, reflection group      13.3
Affine, span      12.1
Affine, Weyl group      12.5 13.3 17.2
Alcove      12.5
Alternating form      7.2
Alternating space      7.2
Anisotropic space      7.2
Antipodal chamber      4.6
Apartment      4.1
Apartment system      4.1
BN-pair      5.1
BN-pair, spherical      5.6
Borel subgroup      5.6
Bornological group      14.6
Bornology      14.6
Bounded set      14.6
Bruhat — Tits decomposition      5.3 5.4
Bruhat, decomposition      5.1 5.4 17.4
Bruhat, order on Coxeter groups      1.8
Building at infinity      16.9
Building, affine      14.1
Building, definition      4.1
Building, metric      14.2
Building, spherical      4.6
Canonical metric on affine building      14.2
Canonical metric on affine complex      13.7
Canonical retraction      4.2
Cartan decomposition      17.5
Cdimension f face      3.1
Cell multiplication rules      5.1
Chamber      3.1
Chamber complex      3.1
Cmbinatorial convexity of apartments      4.5
Cmbinatorial convexity of half-apartments      3.6
Compact subgroups      4.1.4
Compact subgroups, conjugacy      14.7
Compact subgroups, good      14.8
Complete, apartment system      4.4
Complete, discrete valuation ring      4.1.2
Complex, chamber      3.1
Complex, Coxeter      3.4
Complex, simplicial      3.1
Configurations of chamber and sector      16.5
Configurations of sector and three chambers      16.6
Configurations of three chambers      15.4
Configurations of two sectors      16.7
Conical cell      16.9
Conjugacy classes of maximal compacts      14.7
Conjugacy classes of parabolics      5.6
Connected Coxeter diagram      1.2
Convexity of apartments      4.5
Convexity of half-apartments      3.6
Convolution product      6.2
Coroot      12.5
Cosine inequality      17.4
Coxeter, complex      3.4
Coxeter, data      1.2
Coxeter, diagram      1.2
Coxeter, form      1.3
Coxeter, group      1.2
Coxeter, poset      3.4
Coxeter, system      1.2
Crcumcenter      14.6
Crcumradius      14.6
Cross, a wall      3.3
Crystallographic, root system      12.5
Crystallographic, Weyl group      12.5
Deletion condition      1.7
Diameter of building      4.6
Diameter of chamber      13.7
Diameter of chamber complex      4.6
Dihedral group      1.2
Dimension of simplex      3.1
Dimension of simplicial complex      3.1
Discrete, valuation      4.1.2
Discrete, valuation ring      4.1.2
Ends of tree      16.9
Essential, reflection group      12.3
Face at infinity      16.9
Face of simplex      3.1
Face, relation      3.1
Facet      3.1
Finite Coxeter group      1.5
Finite reflection group      12.3
Fixed-point theorem      14.6
Flag of totally isotropic subspaces      10.1
Flag, complex      3.1
Folding      3.3
Folding, reversible      3.3
gallery      3.1
Gallery, non-stuttering      3.1
Gallery, stuttering      3.1
Generic algebra      6.1
Geodesic ray      16.8
Geodesics      13.7 14.2
Geometric realization of simplicial complex      13.5
Geometric realization of simplicial map      13.5
Good, maximal bounded subgroup      14.8
Good, maximal compact subgroup      14.8
Good, vertex      12.4 14.8
Greatest lower bound in poset      3.1
Group, algebra      6.1 6.3
Group, dihedral      1.2
Group, general linear      7.1
Group, orthogonal      7.2
Group, special linear      7.1
Group, special orthogonal      7.2
Group, symplectic      7.2
Group, unitary      7.2
Half-apartment      3.3
Half-space      3.3
Hecke algebra      6.2
Hermitian form      7.1
Hermitian space      7.1
Homothety      4.2.1
Homothety class      4.2.1
Hyperbolic pair      7.2
Hyperbolic plane      7.2
Hyperbolic space      7.2
Hyperplane      12.1
Ideal point      16.9
Incidence geometry      3.1
Indecomposable      1.2 12.4 13.1 13.4
Infimum in poset      3.1
Involution      7.2
Isometry, group      7.2
Isometry, strong      15.5
Isotropic, subspace      7.2
Isotropic, vector      7.2
Iwahori — Hecke algebra      6.2
Iwahori, decomposition      17.7
Iwahori, subgroup      14.1 17.2
Iwasawa decomposition      17.6
Kernel of formed space      7.2
Label of canonical of Coxeter complex      3.4
Label of simplex      3.1
Label of simplicial complex      3.1
Lattice      4.1.4
Length of word      1.1
Levi component      5.6 7.4 17.2
Linear part of affine map      12.4 14.8 16.9
Linear reflection group      12.3
Link      4.4
Local finiteness hyperplanes      12.1
Local finiteness of building      6.2
Local finiteness Tits’ cones      13.4
Map of simplicial complexes      3.1
Maximal apartment system      4.4
Maximal bounded subgroup      14.7
Maximal compact subgroup      14.7
Maximal length element in finite Coxeter group      1.5
Metric on affine building      14.2
Metric on affine complex      13.7
Minimal gallery      3.1
Minimal parabolic subgroup      5.6 7.4 17.2
Monomial matrix      9.3 10.3
Mutually incident      3.1
Negative curvature inequality      14.3
Non-degenerate formed space      7.2
Opposite chamber      4.6
Opposite folding      3.3
Opposite parabolic      5.6
Opposite side of wall      3.3
Oriflamme, double affine complex      2.2 4.5.1
Oriflamme, single affine complex      2.2 4.6.1
Oriflamme, spherical complex      2.1 11.1
p-adic, integers      4.1.1
p-adic, metric      4.1.1
p-adic, numbers      4.1.1
Panel in wall      3.3
Parabolic subgroup      1.9 5.6 7.4 17.2
Parahoric subgroup      17.2 17.3
Perron — Frobenius lemma      13.3
POSET      3.1
Positive half-apartment with respect to sector      16.6
Presentation of group      1.1
Product, convolution      6.2
Product, twisted tensor      6.3
Quadratic, form      7.2
Quadratic, space      7.2
Reduced, gallery      15.1
Reduced, root system      12.3
Reduced, word      1.1
Reflection      1.3 3.3 12.1
Reflection, associated to folding      3.3
Retraction      3.1
Retraction to apartment, attached to sector      16.5
Retraction to apartment, centered at chamber      4.2
Reversible folding      3.3
Root      1.4 12.3
Root system      12.3
Root system, affine      12.5
Root system, crystallographic      12.5
Root system, spherical      12.3
Root, negative      1.4
Root, positive      1.4
Root, simple      12.3
s-adjacent      3.1 3.6
Sector in apartment      16.1
Sector in building      16.5
Separated by a wall      3.3
Similitude      13.7 14.2
Similitude group      7.2
Simple root      12.3
simplex      3.1
Simplex-like poset      3.1
Simplicial complex      3.1
Simplicial cone      12.3
Special subgroup of BN-pair      5.1 5.5
Special subgroup of Coxeter group      1.9
Special subgroup of group with BN-pair      5.3
Special vertex      12.4 14.8 14.9
Spherical buildings      4.6
Spherical Coxeter complex      4.6 13.2
Spherical reflection group      12.3
Spherical Weyl group      1.5 5.6 12.5 17.2
Strong exchange condition      1.7
Strong transitivity      5.2
Structure constants      6.1
Subcomplex      3.1
Subexpression      1.9
Symplectic group      7.2
System, Coxeter      1.2
Thick building      4.1
Thick chamber complex      3.1
Thin chamber complex      3.1
Tits system      5.1
Tits’ cones      13.1
Topological group      17.7
Totally isotropic subspace      7.2
TREE      14.1
Twisted multiplication      6.3
Twisted tensor product      6.3
Type of flag in vectorspace      7.1 9.2
Type of flag, of isotropic subspaces      10.2
Type of gallery      3.5 15.1
Type of parabolic in GL(n)      7.1
Type of simplex      3.1
Type, $\A_n$, $C_n$, $D_n$      2.1
Type, $\tilde{A}_n$, $\tilde{B}_n$, $\tilde{C}_n$, $\tilde{D}_n$      2.2
Typing of simplicial complex      3.1
Unipotent radical      7.4
Uniqueness lemma      3.2
Unitary group      7.2
Vertex in incidence geometry      3.1
Vertex in simplicial complex      3.1
wall      3.3 12.1
Wall, crossed by gallery      3.3
Weyl group, affine      12.5 14.8 17.2
Weyl group, crystallographic      12.5
Weyl group, spherical      1.5 12.5 14.8 17.2
Witt theorem      7.3
Word      1.1
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