Tag: Over

June 26, 2023

The Encyclopedia of Monograms Over 11,000 Motifs for Designers, Artists, and Crafters

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Free Download Leonard G. Lee, "The Encyclopedia of Monograms: Over 11,000 Motifs for Designers, Artists, and Crafters"
English | 2008 | ISBN: 1602396329 | EPUB | pages: 368 | 190.5 mb
Monograms, once indicators of social or commercial exclusiveness, are now symbols of creativity, testaments to the idea that everyone deserves to individualize his or her own things. The remarkable Encyclopedia of Monograms-filled with over 11,000 handsomely engraved initials, ciphers, crests, insignias, emblems, badges, and shields-is a resource of fantastic scope that will be useful to anyone working in the field of graphic design, both as a compendium of the very best monogramming work of the past, and as an inspiration to create new work, commercial and artistic. From elaborate Gothic figures, to restrained Victorian creations, to elegant, floral Art Nouveau triumphs, The Encyclopedia of Monograms offers an exhaustive array of decorative marks sure to influence original and unforgettable designs.

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June 25, 2023

Characters of Groups and Lattices over Orders

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Free Download Characters of Groups and Lattices over Orders: From Ordinary to Integral Representation Theory
English | 2022 | ISBN: 3110702436 | 373 Pages | EPUB (True) | 48 MB
This is the fi rst textbook leading coherently from classical character theory to the theory of lattices over orders and integral representations of fi nite groups. Character theory is developed in a highly pedagogical way including many examples and exercises covering at once the fi rst defi nitions up to Clifford theory, Brauer’s induction theorem and the splitting fi eld theorem, as well as self-dual simple modules allowing bilinear forms. This latter part is done step by step using the approach given by Sin and Willems. Dirichlet characters and Dirichlet’s result on primes in arithmetic progressions are given as an application. Examples of integral representations of fi nite groups are already detailed at a quite early stage where appropriate, so that the more systematic treatment of lattices over orders is natural. After that, the necessary number theory and homological algebra is developed as far as needed. Maximal as well as hereditary orders are introduced and the Auslander- Buchsbaum theorem is proved. The Jordan-Zassenhaus theorem on the fi niteness of lattices in a given vector space is fully proved. Then the development and properties of class groups of orders is a fi rst focus. As a further highlight Swan’s example of a stably free but not free ideal over the integral group ring of the generalised quaternion group of order 32 is developed in great detail.

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