ABSTRACT ALGEBRAIC STRUCTURES OPERATIONS AND ...

23 SU(n) special unitary matrices
24 Pern(R) permutation matrices over R
25 F(X, Y ) mappings from X into Y
26 C(X, Y ) continuous mappings from X into Y
27 D(X) subsets of X.
28 O(X) open subsets of X.
29 F(X, Y ) ∗ bijective mappings from X into Y
30 C(X, Y ) ∗ homeomorphisms from X into Y
31 ⟨a, b, c, . . .⟩ words over {a, b, c, . . .}
32 Sn permutations of n objects
33 An even permutations of n objects
34 Gx elements in G with x as fixed point
35 R[X] polynomials in X over the ring R
36 R(X) the canonical field extension of R[X]
37 L(α) minimal field extension of L, containing α
38 Fix(G, X) {g ∈ G|g(X) ⊆ X}
39 Mb Möbius transformations
40 Rot(X) rotations invariant for X
41 V Klein’s Vierer-Gruppe (Z2 × Z2)
42 T tetrahedron group
43 H hexahedron group
44 I icosahedron group
45 S n unit hyper sphere i R n+1
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