Handbook of algebra. Vol.6 / ed. by M.Hazewinkel. - Amsterdam; Oxford; Burlington: North Holland / Elsevier, 2009. - Incl. bibl. ref. - Ind.: p.585-610. - ISSN 1570-7954; ISBN 978-0-444-52257-2  Место хранения:   013 | Институт математики СО РАН | Новосибирск | Библиотека

Оглавление / Contents

Preface ......................................................... v Outline of the Series .......................................... ix List of Contributors .......................................... xxv Section 1A Linear Algebra ...................................... 1 Alexander E. Guterman, Matrix Invariants over Semirings ...... 3 Kazimierz Szymiczek, Quadratic Forms ........................ 35 Section 2B Homological Algebra. Cohomology. Cohomological Methods in Algebra. Homotopical Algebra ..................... 81 Ronald Brown, Crossed Complexes and Higher Homotopy Groupoids as Noncommutative Tools for Higher Dimensional Local-to-Global Problems .................................... 83 Section 4H Hopf Algebras and Related Structures .............. 125 Katsutoshi Amano, Akira Masuoka and Mitsuhiro Takeuchi, Hopf Algebraic Approach to Picard-Vessiot Theory ........... 127 Gabriella Böhm, Hopf Algebroids ............................ 173 Tomasz Brzeziński, Comodules and Corings ................... 237 Michiel Hazewinkel, Witt vectors. Part 1 ................... 319 Jae-Hoon Kwon, Crystal Graphs and the Combinatorics of Young Tableaux ............................................. 473 Section 6D Representation Theory of Algebras ................. 505 Xueqing Chen and Ki-Bong Nam, Tomáš Pospíchal, Quivers and Representations ........................................ 507 Section 8 Applied Algebra .................................... 563 Marios Viana, Canonical Decompositions and Invariants for Data Analysis .............................................. 565 Index ......................................................... 585