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The theory of linear algebraic monoids culminates in a coherent blend of algebraic groups, convex geometry, and semigroup theory. The book discusses all the key topics in detail, including classification, orbit structure, representations, universal constructions, and abstract analogues. An explicit cell decomposition is constructed for the wonderful compactification, as is a universal deformation for any semisimple group. A final chapter summarizes important connections with other areas of algebra and geometry. The book will serve as a solid basis for further research. Open problems are discus

Monoids --- Semigroup algebras --- Monoids. --- Semigroup algebras. --- Algebras, Semigroup --- Mathematics. --- Algebra. --- Geometry. --- Combinatorics. --- Linear algebraic groups. --- Algebra --- Algebraic groups, Linear --- Geometry, Algebraic --- Group theory --- Algebraic varieties --- Semigroups --- Linear algebraic groups --- Combinatorics --- Mathematical analysis --- Mathematics --- Euclid's Elements

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Special issues --- arithmetics --- Hopf algebras --- Hopf, Algèbres de --- Hopf, Algèbres de. --- Topologie algébrique --- Hopf, Algèbres de. --- Topologie algébrique

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Reflection groups --- Braid theory --- Hecke algebras --- Finite groups --- Groupes de réflexions (mathématiques) --- Tresses, Théorie des --- Hecke, Algèbres de --- Groupes finis --- Tresses, Théorie des. --- Hecke, Algèbres de. --- Groupes finis.

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Bibliothèque Houziaux

#TELE:TMIC --- 517.5 --- Functions --- Mathematics --- -510 --- Math --- Science --- Analysis (Mathematics) --- Differential equations --- Mathematical analysis --- Numbers, Complex --- Set theory --- Calculus --- Theory of functions --- Tables --- 517.5 Theory of functions --- 519.66 --- #TELE:d.d. Prof. A. J. J. Oosterlinck --- 519.66 Mathematic tables and their compilation --- Mathematic tables and their compilation --- 681.3 *G10 --- #TWER:BOEK --- 51 --- functies --- tabellenboeken --- Computerwetenschap--?*G10 --- Wiskunde --- 517.58 --- #ABIB:astp --- 517.58 Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- #TELE:MI2 --- functies (wiskunde) --- integralen --- Functions. --- Tables. --- Fonctions (Mathématiques) --- Mathématiques --- Fonctions (mathématiques). --- Analyse numérique. --- Numerical analysis --- Analyse mathématique --- Analyse combinatoire --- Systèmes d'aide-mémoire --- Mathematics - Tables --- Fonctions speciales --- Formulaire de mathematiques --- Algebras --- Constants --- Probability theory --- -Tables --- Fonction mathematique --- Analyse mathématique --- Systèmes d'aide-mémoire --- Analyse numérique.