By Paolo Aschieri

We supply a pedagogical creation to the differential calculus on quantum teams via stressing in any respect phases the relationship with the classical case. We extra research the relation among differential calculus and quantum Lie algebra of left (right) invariant vectorfields. an identical definitions of bicovariant differential calculus are studied and their geometrical interpretation is defined. From those info we build and study the gap of vectorfields, and of course introduce a contraction operator and a Lie spinoff, whose houses are mentioned.

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Additional info for Geometry of Inhomogeneous Quantum Groups

Sample text

4m s l h w 2 1 2 ·3·4=6 Area of lateral faces = 3 · 8 = 24 4 · 8 = 32 5 · 8 = 40 SA = 2B + LA = 2(6) + (24 + 32 + 40) 2 = 12 + 96 = 108 m (s = length of an edge) SA = 2(lw) + 2(lh) + 2(wh) 1 Find the surface area of these right prisms. Place your answers in the cross-number puzzle. 2 Across 5 2. Area of triangular base = The surface area formulas for a cube and a right rectangular prism can also be written in these forms: SA = 6s 8m 5m SA = 2B + LA 3. 3m 3 m2 4 6 A cube with an edge length of 6 m.

Use the answer code to reveal the name of a famous Persian mathematician, astronomer, and poet who lived about 1,000 years ago. 1. 2. 12 cm 3. 10 m 12 m 3 cm 10 cm 10 m 25 m 6m 6m 4. 8m 16 m 5. 9 cm 9 cm 6. 18 cm 5 cm 5 cm 8 cm 9 cm 12 cm 7 cm 5m 7. 10 m 5m 240 m 14 m A 3 3 3 3 3 280 cm 360 cm 540 cm 729 cm 1440 m H K M O R 3 2100 m 3 Y 20 m 6m © Milliken Publishing Company ___ ___ ___ ___ 4 5 2 7 31 ___ ___ ___ ___ ___ ___ ___ 1 6 2 3 3 2 5 MP3497 Name ______________________________ Circumference and Area of Circles Remember Find the circumference and area of this circle.

2. 3. 4. 5. • • • • • • • • • • • Reflexive Property AAS Congruence Alt. Interior Angles SAS Congruence Rt. ∠ Congruence Given 3. 1. 2. 3. 4. • • • • • • • • • Vertical Angles SAS Congruence Given Given SSS Congruence 4. 1. 2. 3. 4. • • • • • • • • • Alt. Interior Angles AAS Congruence Reflexive Property Given ASA Congruence © Milliken Publishing Company 5. 1. 2. 3. 4. 5. • • • • • • • • • • • Def. of Rt. Triangles Given SAS Congruence HL Congruence Reflexive Property Given AWESOME! Page 17 A. 3 E.